Present ages of Samad and Akmal are in the ratio of 5:4 respectively. Three years later, the ratio of their ages will become 11:9 respectively. What is Akmal's present age in years?

A 24

B 27

C 29

D 40

E none

Solution

Correct Answer: Option A

Let,  Samad and Akmal's present age respectively 5x and 4x

3 years later,
Samad age=(5x+3) year
Akmal Age=(4x+3) year

Atq, (5x+3):(4x+3)=11:9
Then,(5x+3)/(4x+3)=11/9
45x+27=44x+33
45x-44x=33-27
x=6

∴ Akmal's age=4x6=24 year

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