LIC AAO Model Paper 8

Question : 35 of 160

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
None of these

Validate

Solution:

Let the present ages of ' Samir and Tanuja be 8x and 15x years respectively.
According to the question
After 9 years

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

{11}/{18}

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

{63}/{21}

= 3
∴ Samir’s present age = 8x= 24 years
Tanuj’s present age = 15x= 45 years
∴ Required difference = 45 - 24 = 21 years

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