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).

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).
1). 36
2). 24
3). 28
4). 40

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Guest · Answer 1 · 2019-04-06 15:42:00

Solution

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

Guest · Answer 2 · 2019-04-19 23:04:10