the sum of two numbers is 8 if 22 is added to the smaller number then it becomes five times the other find the numbers
Answers
Answered by
14
Answer:
5 and 3
Step-by-step explanation:
number 1+ number 2= 8
Let one number be y, and other one will be 8-y(the smaller one)
According to the question,
22+ smaller number= 5 x other number
22+8-y= 5 x y
30-y=5y
30= 5y+y
30= 6y
30/6=y
5=y
Number 1- 5
Number 2- 3
vikash3738:
not understand
Answered by
17
Hlw...
Given that the both numbers sums 8.
Let the numbers Be x and 8-x
Also given that 22 is added to the smaller number.
And it becomes 5times of the smaller no.
Than it will be x+22
And (8-x)5
Respectively...
Now,
![x + 22 = (8 - x)5 \\ \\ x + 22 = 40 - 5x \\ \\ 5x + x = 40 - 22 \\ \\ 6x = 18 \\ \\ x = = > 3 x + 22 = (8 - x)5 \\ \\ x + 22 = 40 - 5x \\ \\ 5x + x = 40 - 22 \\ \\ 6x = 18 \\ \\ x = = > 3](https://tex.z-dn.net/?f=x+%2B+22+%3D+%288+-+x%295+%5C%5C+%5C%5C+x+%2B+22+%3D+40+-+5x+%5C%5C+%5C%5C+5x+%2B+x+%3D+40+-+22+%5C%5C+%5C%5C+6x+%3D+18+%5C%5C+%5C%5C+x+%3D+%3D+%26gt%3B+3)
So,
The smaller number is 3
And the larger number is (8-x)=8-3 = 5
==>(22+x) = 5(8-x)
==> 22 + 3 = 5 × 5
==> 25 = 25
Let the numbers Be x and 8-x
Also given that 22 is added to the smaller number.
And it becomes 5times of the smaller no.
Than it will be x+22
And (8-x)5
Respectively...
Now,
So,
The smaller number is 3
And the larger number is (8-x)=8-3 = 5
==>(22+x) = 5(8-x)
==> 22 + 3 = 5 × 5
==> 25 = 25
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