Present ages of Neha and Rashmi are in the ratio of 7 : 8 respectively. Six years hence, the ratio of their ages will become 9 : 10 respectively. What is Rashmi’s present age? (in years).

Explanation

Let present age of Neha = $$7x$$ years Present age of Rashmi = $$8x$$ years Acc. to ques, => $$\frac{7x + 6}{8x + 6} = \frac{9}{10}$$ => $$70x + 60 = 72x + 54$$ => $$2x = 60 - 54 = 6$$ => $$x = \frac{6}{2} = 3$$ $$\therefore$$ Present age of Rashmi = 8 * 3 = 24 years