the sum of three numbers in a row is 90. Find the three numbers!
1. the sum of three numbers in a row is 90. Find the three numbers!
misal
angka pertama = a
angka kedua= a+1
angka ketiga = a+2
maka
a+a+1+a+2= 90
3a+3=90
3a=87
a=29
angka pertama =a = 29
angka kedua=a+1=29+1=30
angka ketiga=a+2=29+2=31
coba cek . 29+30+31=90
itu menurutku, kalau salah mohon koreksinya ya
2. the sum of 3 odd numbers is 45. find the three numbers
Jawaban:
Odd numbers artinya angka ganjil.
3 odd numbers artinya 3 angka ganjil.
Penjumlahan 3 angka ganjil yg hasilnya 45, maka bilangan tersebut adalah 15.
45/3=15 → 15+15+15=45#sejutapohon3. The sum of three consecutive odd numbers is 111. Find the product of the 3 numbers.
Because they're only odd numbers, the gap is 2.
n + (n+2) + (n+4) = 111
3n + 6 = 111
n = 105 / 3
n = 35
--
The numbers are 35, 37, and 39 (n, n+2, and n+4)
<3
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4. The sum of two numbers is 20. Their difference is 4. Find the two numbers.
Jawab:
Hari/Tanggal: Rabu, 15 Desember 2020
Jam: 08.57 WIB
____________________________________
a + b = 20
Difference is 4 (a - b)
So,
Elimination~
a + b = 20
a - b = 4
_________-
b + b = 16
2b = 16
b = 16/2
b = 8
Subtitution~
a - b = 4
a - 8 = 4
a = 4 + 8
a = 12
a = 12
b = 8
12 - 8 = 4
and
12 + 8 = 20
it's right :^
May Be Useful ^^
The two numbers are 12 and 8 .
PembahasanDiketahui :
The sum of two numbers is 20. Their difference is 4.
Ditanya :
Find the two numbers.
Jawab :
[tex]\text{Let two numbers are} \: \: x \: \: \text{and} \: \: y \: . \\ \\[/tex]
The sum of two numbers is 20.
[tex]x + y = 20 \\ \\ [/tex]
Their difference is 4.
[tex]x - y = 4 \\ \\ [/tex]
[tex]\text{Eliminate} \: \: y \: \: \text{to find} \: \: x \: .\\ \\ [/tex]
[tex]\begin{aligned}\\&x + y = 20\\ &x - y = 4\end{aligned} \\ \: \: \: \underline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } + \\ \begin{aligned}\\ \: 2x& = 24 \\ \: x& = 12\end{aligned} \\ [/tex]
Substitute x = 12 to equality x - y = 4
We get
[tex]x - y = 4 \\ \\ 12 - y = 4 \\ \\ y = 12 - 4 \\ \\ \boxed{y = 8} \\ \\ [/tex]
Kesimpulan :
The two numbers are 12 and 8 .
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======|==|==|==|==|==|==|========
Detail JawabanKelas : 8
Mapel : Matematika
Materi : Sistem persamaan linear dua variabel
Kode Kategorisasi : 8.2.5
Kata Kunci : SPLDV, eliminate, substitute, sum, difference
5. The sum of two numbers is 14 and their differences is 2. Find the numbers!
Penjelasan dengan langkah-langkah:
jumlah dua angka adalah 14 dan perbedaannya adalah 2.temukan nomornya.
number is 8 and number 6
14 bagi 2 : 88-2 : 6
the answer is 6
6. the sum of two numbers is 8. determine the two numbers such tat the sum of their squeres is minimized
what do you want to ask ???
7. Ans: 48 The average of 5 numbers is 12.8. What is the sum of the numbers?
Jawab:
64
Penjelasan dengan langkah-langkah:
For knowns,
Average = 12.8Have 5 numbersSum =
5 Numbers = 12.8, 12.8, 12.8, 12.8, 12.8 = 64
8. The sum of two square numbers is 25².what are the square numbers?
Jawab:
Simplify 25^2 to a real number
25x25= 625
Then, find out which 2 square numbers add to become 625.
625= 20^2+15^2
625= 400+225
So, the square numbers are 20^2 and 15^2
Penjelasan dengan langkah-langkah:
Jawab:
15² and 20²Penjelasan dengan langkah-langkah:
Square number = product of the multiplication of 2 same numbers
The product of 25² =
25 × 25 =
625
The sum of two square numbers = 625
225 + 400 = 625
15² + 20² = 25²
嘉誠
9. the sum of three numbers a, b, and c is 240. if sum of a and b is 160 , sum of a and c is 170 then b+c-a equal to
Diketahui :
a + b + c = 240
a + b = 160
a + c = 170
Ditanya :
b + c - a = ??
Dijawab :
a + b = 160
160 + c = 240
c = 240 - 160
c = 80
a + c = 170
a + 80 = 170
a = 170 - 80
a = 90
a + b = 160
90 + b = 160
b = 160 - 90
b = 70
Jadi b + c - a = 70 + 80 - 90 = 60
10. The sum of three numbers x, y, and z is 180. If sum of x and y is 130, sum of x and z is 110 then y+z-x equal to ....
Z =50
Y = 70
X =60
Jawabannya 60
11. The sum of two numbers is 27. One of the numbers exceeds the other by 9. Find the numbers.
Jawaban:
itu jawabannya ya maaf kl salah
Jawaban:
9 and 18
Penjelasan dengan langkah-langkah:
[tex]x = y + 9 \\ \\ x + y = 27 \\ (y + 9) + y = 27 \\ 2y + 9 = 27 \\ 2y = 27 - 9 \\ 2y = 18 \\ y = 9 \\ \\ x = y + 9 \\ x = 9 + 9 \\ x = 18[/tex]
12. If the sum of three consecutive numbers is 72, what is the largest number? *this is algebra word problem
X+x+1+x+2=72
3x=72-2-1
3x=69
X=23
Largest number :
X+2
23+2
25
13. The sum of three numbers in a particular arithmetic sequence is 33 and their product is 1287. Then, find the numbers that satisfied the sequence.
Jawab:
The numbers that satisfied the sequence are 9, 11, and 13.
Penjelasan dengan langkah-langkah:
If those three numbers are x, y, and z, then it is known that:
y - x = z - y ......(1) (rule of any arithmetic sequence)x + y + z = 33 .....(2)xyz = 1287 .....(3)From equation (1), we can get:
[tex]\begin{aligned}y-x &= z-y\\y-x-z+y&=0\quad\quad\text{(+z-y change\ side)}\\2y-x-z&=0\\\bf-x+2y-z&=\bf0\quad\dots\text{(4)}\end{aligned}[/tex]
The sum of equation (2) and (4) would be:
[tex]\begin{tabular}{r r r r c}x + &y + &z = &33&\ \\-x + &2y - &z = &0&\ \\\cline{1-4} &\\0 + &3y + &0 = &33&\ \\& & \bf y = & \bf 11\end{tabular}[/tex]
Substitute the value of y to equation (3):
[tex]\begin{aligned}xyz &= 1287\\11xz &= 1287\\xz &= 1287 \div 11\\\bf xz &= \bf 117\quad\dots(5)\end{aligned}[/tex]
Substitute the value of y to equation (2):
[tex]\begin{aligned}x+y+z&=33\\x+11+z&=33\\x+z&=33-11\\x+z&=22\\\bf z&=\bf 22-x\quad\dots(6)\end{aligned}[/tex]
And then, substitute the value of z from equation (6) to equation (5):
[tex]\begin{aligned}xz&=117\\x(22-x)&=117\\22x-x^2&=117\\-22x+x^2&=-117\quad\dots\text{($\times$ -1)}\\\bf x^2-22x+117&=\bf 0\quad\dots\text{(put them in order)}\\(x-9)(x-13)&=0\quad\dots\text{(factorization)}\\\bf x=9 \ \ or\ \ x&=\bf 13\end{aligned}[/tex]
At this point, we can guess that:
x = 9 and z = 13.
Let's verify this sequence:
9, 11, 13 : yes, this is an arithmetic sequencex + y + z = 9 + 11 + 13 = 33 : it is proved that the sum of these three numbers equals to 33.xyz = 9×11×13 = 99×13 = 1287 : it is also proved that their product is 1287.CONCLUSION:
The numbers that satisfied the sequence are 9, 11, and 13.
14. =QUIZ=On each of the three separate pieces of paper there is a three-digits number. The sum of the three numbers is 826. What is the sum of the two hidden digits?
243 + 157 + 426 = 826
So the answer is 5 + 4 = 9
15. 1.the average of the 4 number is 56 the first numbers is 5 more than the second .The third numbers is the half of the second and the fourth number is three time the sum of the first and second numbers Find the numbers?2.the sum of three consecutive odd numbers is 135 . Find the largest odd numbers
Jawaban :
1.
a = 29
b = 24
c = 12
d = 159
2.
47
Pembahasan :
1.
[tex]\frac{a+b +c +d}{4}[/tex] = 56
a + b + c + d = 4(56)
a + b + c + d = 224
a = 5 + b
c = [tex]\frac{b}{2}[/tex]
d = 3( a + b )
a + b + c + d = 224
5 + b + b + [tex]\frac{b}{2}[/tex] + 3(a + b) = 224
5 + b + b + [tex]\frac{b}{2}[/tex] + 3(b + 5 + b) = 224
5 + b + b + [tex]\frac{b}{2}[/tex] + 3(2b + 5) = 224
5 + b + b + [tex]\frac{b}{2}[/tex] + 6b + 15 = 224
8b + [tex]\frac{b}{2}[/tex] + 20 = 224
8b + [tex]\frac{b}{2}[/tex] = 224 - 20
8b + [tex]\frac{b}{2}[/tex] = 204
8b + [tex]\frac{b}{2}[/tex] = 204
____________ ×2
16b + b = 408
17b = 408
b = 24
a = 5 + b
a = 5 + 24
a = 29
c = [tex]\frac{b}{2}[/tex]
c = [tex]\frac{24}{2}[/tex]
c = 12
d = 3( a + b )
d = 3( 29 + 24)
d = 3(53)
d = 159
2.
a + b + c = 135
a = b - 2
c = b + 2
a + b + c = 135
b - 2 + b + b + 2 = 135
3b = 135
b = 45
c = b + 2
c = 45 + 2
c = 47
Detail Jawaban :
Mapel : Matematika
Kelas : 6
Materi : Aljabar
#AyoBelajar #BelajarBersamaBrainly
16. the sum of two square numbers is 15². What are the square numbers?
Jawaban:
gambarnya mana?kok gak ada?
17. Three numbers are in the ratio of 5: 6: 7. What is the smallest number if the sum of the three numbers is 72? pls help thanks ❤
Jawab:
the smallest number is 20.
Penjelasan dengan langkah-langkah:
cmiiw
18. The sum of two numbers is 20 and the sum of their squares is 272. Find the firstnumber
Jawab:
4 or 16
Penjelasan dengan langkah-langkah:
Let the numbers be x and y
x + y = 20
sum of their squares is 272 so x^2 + y^2 = 272
Find the first number,
We know that x^2 + y^2 = (x + y)^2 - 2xy
so 272 = 20^2 - 2xy
272 = 400 - 2xy
2xy = 128
xy = 64
We know that x + y = 20 and xy = 64, so we can make quadratic equation,
let a1 = x and a2 = y
a^2 - 20a + 64 = 0
(a - 16)(a - 4) = 0
a = 16 or a = 4
So the first number can be 4 or 16
If the first number less than the second, the answer is 4
Semoga terbantu :)
IG: @djie.jemmy
Jawab:
4 or 16Penjelasan dengan langkah-langkah:
If the first number is [tex]x[/tex] and the second one is [tex]y[/tex],
we can write:
[tex]x + y = 20[/tex]
[tex]x^{2} + y^{2} = 272[/tex]
Then
[tex]x = 20 - y[/tex]
Substitute [tex]x = 20 - y[/tex] to [tex]x^{2} + y^{2} = 272[/tex]
[tex](20 - y)^{2} + y^{2} = 272[/tex]
[tex]400 - 40y + y^{2} + y^{2} = 272[/tex]
[tex]2y^{2} - 20y + 128 = 0[/tex]
Factorize the equation and we get:
[tex](y-16)(y-4) = 0[/tex]
[tex]y = 16[/tex] ∨[tex]y = 4[/tex]
If we substitute [tex]y = 16[/tex] to [tex]x = 20 - y[/tex], we get [tex]x = 4[/tex]
So, we can conclude that both numbers are 4 and 16.
19. The sum of two numbers is 27. One of the numbers exceeds the other by 9. Find the numbers.
Jawaban:
The numbers are 9 and 18
Penjelasan dengan langkah-langkah:
x + y = 27
y = x + 9
x + x + 9 = 27
2x + 9 = 27
2x = 18
x = 9
The first number: x = 9
The second number: y = x + 9 = 18
20. the sum of 4 consecutive even numbers is 68. find greatest of the 4 numbers
Jawaban:
the sum of 4 consecutive even numbers is 68. find greatest of the 4 numbers
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