Question

The ages of Ashu and Raju are in the ratio 5: 7. If Ashu was 9 years older and Raju 9 years younger, the age of Ashu would have been twice the age of Raju. Find their present ages.

• A. 3 years and 21 years
• B. 15 years and 21 years
• C. 24 years and 30 years
• D. 15 years and 24 years

Answer 1

The correct option is B

15 years and 21 years

Given, the ages of Ashu and Raju are in the ratio 5: 7
Let the age of Ashu be 5x and age of Raju be 7x.
If Ashu was 9 years older, then his age would be (5x + 9) years
If Raju was 9 years younger, then his age would be (7x - 9) years
From the given information,
5x + 9 = 2(7x - 9)
5x + 9 = 14x - 18
14x - 5x = 9 + 18
9x = 27
x = 3
Thus, Ashu's present age = 15 years and Raju's present age = 21 years.