Given: The ratio of the present ages of A and B is 6 : 5 Five years ago, the ages ratio was 5 : 4 Calculation: Let the present age of A = 6x and B = 5x Five years ago,
(6x−5)
(5x−5)
=
5
4
⇒24x−20=25x−25 ⇒x=5 Present age of A = 6 × 5 = 30 years Present age of B = 5 × 5 = 25 years After 10 years the ages of A and B is 40 years and 35 years. ∴ The ratio of ages is 40 : 35 is 8 : 7