### Question 15

SSC-CGL 2020 Mar 3 Shift 2

Present ages of two persons A and B differ by 6 years, but are in the ratio 5 : 6. The ratio of their ages 5 years hence will be?

### Solution in Brief

Difference of ratios ages is 6, and of ratios is 1. So their present ages are 5x6 = 30 and 6x6 = 36. Five years later the ratio will be 35 : 41 answer!

### Solution in Detail

Present ages $\displaystyle 5k$ and $\displaystyle 6k$

Difference given $\displaystyle 6k - 5k = 6$

$\displaystyle \therefore k = 6$

Ratio after 5 years $\displaystyle = \frac{5k + 5}{6k + 5}$

$\displaystyle = \frac{5\cdot 6 + 5}{6\cdot 6 + 5} = \frac{35}{41}\:\underline{Ans}$

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