The ratio of ages of A and B is 13:8. After 12 years the ratio of B and C’s age is 9:7. If C’s 10th birthday was celebrated six years ago, then what is the present age of A?

Explanation

C’s present age = 10+6 = 16 C’s age after 12 years= 16 + 12 = 28 years After 12 years, B:C = 9:7 7x= 28 =>x = `28/7` = 4 B’s age after 12 years = 9 `xx` 4 = 36 yrs B’s present age = 36 - 12 = 24 years Ratio of Present age of A:B = 13:8 8y= 24 => y= `24/8` = 3 A’s present age= 13 `xx` 3 = 39 years