NCHMCT JEE 2020 Question Paper with solutions for online practice

Question : 61 of 200

Marks: +1, -0

The ratio of the ages of Ram and Rahim

10 {yr}

ago was

1: 3

. The ratio of their ages

5 {yr}

hence will be

2: 3

. Then, the ratio of their present ages is

Solution:

Let the ages of Ram and Rahim

10 {yr}

ago be

x

and

3 x

yr respectively.
After

5 {yr}

from now (10 for present

+5

for next)

\;{x+15}/{3 x+15}=\;{2}/{3}

⇒ 6 x+30=3 x+45

⇒ 3 x=45-30=15

∴ \;\; x=5

Ratio of their present ages

=(x+10):(3 x+10)=15: 25=3: 5

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