SSC CGL 4 Sep 2016 Paper

Question : 53 of 100

Marks: +1, -0

The ratio of the present ages of two boys is 3:4. After 3 years, the ratio of their ages is equal to will be 4:5.The ratio of their ages after 21 years will be

14:17
17:19
11:12
10:11

Validate

Solution:

Let the ages of boys be 3x and 4x years respectively.
According to the question,
After 3 years

{3x+3}/{4x+3}

4/5

⇒ 16x + 12 = 15x + 15
⇒ 16x – 15x = 15 – 12
⇒ x = 3
∴ Required ratio after 21 years
=

{3x+21}/{4x+21}

{3×3+21}/{4×3+21}

{9+21}/{12+21}

{30}/{33}

{10}/{11}

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