Let one year ago the ages of Yamini and Gamini were 6x and 7x years respectively; then
6x+5
7x+5
=
7
8
⇒ 48x + 40 = 49x + 35 ∴ x = 5 Hence, present age of Gamini = 7x +1 = 7 × 5 + 1 = 36 years
(OR)
Let the age of Yamini one year ago be 6x. Let the age of Gamini one year ago be 7x. 4 years hence: ((6x+1)+4)∕((7x+1)+4)=7∕8 (6x+5)∕(7x+5)=7∕8 8(6x+5)=7(7x+5) 48x+40=49x+35 x=5 Gamini age =7x+1 =7(5)+1 =36 years. Hence, Gamini's age is 36 years.