Question

Two numbers are such that the ratio between them is 3:5. If each is increased by 10, the ratio

between the new numbers so formed is 5:7. Find the original numbers.

Answer 1

`15`
`and`
`25`

Explanation:

We have two variables, x and y.

So, we now know that
`x/ y`
`=  3/5`

`x = (3y) / 5`

So then,

`( x + 10) / (y+10) = 5:7`

`7(x+10) = 5(y+10)`

`7x = 5y + 50 - 70 = 5y - 20`

Y.

`7(3y/5) = 5y - 20`

`21y = 25y - 100`

`25y - 21 y = 100`

`y = 100/4`

`y = 25`

X.

`x = (3*25) / 5`

`x = 15`

So then the numbers are 15 and 25