6Dec19 morning Q2

0. A 50 year old man has a son whose age is 2/5 of his age. After how many, the ratio of the age of the man to his son will be 5/3?

Answer
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Option : D
Explanation :
Mom's age = 50 years
Son's age = 2/5 x 50 = 20 years
Let after x year, the ratio of their age becomes 5 : 3.
Then, (50+x)/(20+x) = 5/3
⇒ 3(50 + x) = 5(20 +x)
⇒ 150+3x=100+5x
⇒ 5x-3x= 150-100
⇒ 2x=50
⇒ x= 50/2 =25 years

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