The age of father 15 years ago was twice thee age of his son. Five yea

1.	The age of father 15 years ago was twice thee age of his son. Five years hence, the father's age will be 1.5 times that of his son. Find the ratio of present age of father and son.1. 11 : 52. 11 : 73. 7 : 24. None of the above
Answer» Correct Answer - Option 2 : 11 : 7 Given: Let father's present age be a and son's present age be b. ⇒ (a - 15) = 2(b - 15) ⇒ (a + 5) = 1.5(b + 5) Calculation: ⇒ a - 15 = 2b - 30 ⇒ 2b - a = 15 Then, ⇒ a + 5 = 1.5b + 7.5 ⇒ a - 1.5b = 2.5 Solving, ⇒ 2b - 2.5 - 1.5b = 15 ⇒ b = 35 years ⇒ a = 55 years ∴ Ratio of present age of father and son = 55 : 35 = 11 : 7

The age of father 15 years ago was twice thee age of his son. Five years hence, the father's age will be 1.5 times that of his son. Find the ratio of present age of father and son.1. 11 : 52. 11 : 73. 7 : 24. None of the above

Answer» Correct Answer - Option 2 : 11 : 7

Given:

Let father's present age be a and son's present age be b.

⇒ (a - 15) = 2(b - 15)

⇒ (a + 5) = 1.5(b + 5)

Calculation:

⇒ a - 15 = 2b - 30

⇒ 2b - a = 15

Then,

⇒ a + 5 = 1.5b + 7.5

⇒ a - 1.5b = 2.5

Solving,

⇒ 2b - 2.5 - 1.5b = 15

⇒ b = 35 years

⇒ a = 55 years

∴ Ratio of present age of father and son = 55 : 35 = 11 : 7

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