SSC CGL 17 Aug 2021 Shift 3 Paper

Question : 62 of 100

Marks: +1, -0

The ratio of present ages of

A

and

B

7: 8

. After

6 {yr}

from now, the ratio of their ages will be

8: 9

. If

C

's present age is 10 yr more than the present age of

A

, then the present age (in years) of

C

Solution:

Given, present age of

A

and

B

=7 x: 8 x

According to the question,

⇒ \;\; \;{7 x+6}/{8 x+6}=\;{8}/{9}

⇒ \;\; 63 x+54=64 x+48

⇒ \;\; x=6

\;\text " Present age of "\; A=7 x=7 × 6=42 {yr}

∴ \;\text " Age of "\; C=42+10=52 {yr}

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