A father is 3 times as old his son. 8 years ago, the father

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A father is 3 times as old his son. 8 years ago, the father was 5 times as old as his son. What is the present age of the son?

1. 12 years
2. 14 years
3. 16 years
4. 20 years

Correct Option: C

Suppose the present age of the son is P years.
Therefore, the present age of father will be 3P years.
According to question , Eight years ago, 5 × ( the present age of the son - 8 years ) = ( the present age of father - 8 years )
5(P – 8) = 3P – 8
⇒ 5P – 40 = 3P – 8
⇒ 5P – 3P = 40 – 8
⇒ 2P = 32

∴ P =	32	= 16 years
	2

Therefore , the present age of the son is 16 years.