NCHMCT JEE 2012 Question Paper with solutions for online practice

Question : 13 of 200

Marks: +1, -0

The ages of Samir and Tanuj are in the ratio of 8 : 15 years respectively. After 9 years the ratio of their ages will be 11 : 18. What is the difference in years between their ages?

24 years
20 years
33 years
21 years

Validate

Solution:

Let the present ages of Samir and Tanuj be 8x and 15x years respectively.
From the question

{8x+9}/{15x+9}

{11}/{18}

⇒ 165x + 99 = 144x + 162
⇒ 165x – 144x = 162 – 99
⇒ 21x = 63
x =

{63}/{21}

= 3
Hence, required difference
= 15 × 3 – 8 × 3
= 45 – 24 = 21 years

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