The ages of Sonal and Manoj are in the ratio `7: 5.` Ten years hence the ratio of their ages will be `9: 7.` Find their present ages

Explanation

Given:
The ages of Sonal and Manoj are in the ratio `7:5`.
Ten years hence the ratio of their ages will be `9: 7`.
Let the age of Sonal be `7x` and Manoj be `5x`.
After `10` years,
Age of Sonal will be `7x+10` years and age of Manoj will be `5x+10` years.
Ratios of ages is `9:7`.
Let's assume the age to be `9x` and `7x`.
According to the question,
`(7x+10)+(5x+10)=9x+7x`
`12x+20=16x`
`16x-12x=20`
`4x=20`
`x=20/4`
`x=5`
The present age of Sonal is `7x=7times5=35` years.
The present age of Manoj is `5x=5times5=25` years.
Hence, thw ages of Sonal and Manoj are `35` years and `25` years.