NCHMCT JEE 2011 Question Paper with solutions for online practice

Question : 5 of 198

Marks: +1, -0

Ten years ago, the ratio of ages of A and B was 3 : 5. The ratio of their present ages is 2 : 3. Their respective ages in years are:

Solution:

Suppose the present ages of A and B are 2x and 3x
From the question,

{2x-10}/{3x-10}

3/5

or, 10x - 50 = 9x - 30
or, 10x - 9x = 50 - 30
or, x = 20
∴ The age of A = 2x = 2 × 20 = 40 years
The age of B = 3x = 3 × 20 = 60 years.

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