The ratio of present age of father and son is 5 : 2 and before 4 years

1.	The ratio of present age of father and son is 5 : 2 and before 4 years their age ratio was 3 : 1. Then what will be their age ratio after 6 years?1. 22 : 132. 23 : 113. 15 : 84. 19 : 13
Answer» Correct Answer - Option 2 : 23 : 11 Given: Ratio of present age of father and son = 5 : 2 Ratio of their age before 4 years = 3 : 1 Calculation: Let the present age of father and son be 5x and 2x respectively Age of father 4 years ago = 5x – 4 Age of son 4 years ago = 2x – 4 Now, according to question (5x – 4)/(2x – 4) = 3 : 1 ⇒ 5x – 4 = 6x – 12 ⇒ x = 8 Age of father after 6 years = 5x + 6 ⇒ (5 × 8 + 6) years ⇒ 46 years Age of son after 6 years = 2x + 6 ⇒ (2 × 8 + 6) years ⇒ 22 years Required ratio = 46 years : 22 years ⇒ 23 : 11 ∴ The ratio of their ages after 6 years is 23 : 11

The ratio of present age of father and son is 5 : 2 and before 4 years their age ratio was 3 : 1. Then what will be their age ratio after 6 years?1. 22 : 132. 23 : 113. 15 : 84. 19 : 13

Answer» Correct Answer - Option 2 : 23 : 11

Given:

Ratio of present age of father and son = 5 : 2

Ratio of their age before 4 years = 3 : 1

Calculation:

Let the present age of father and son be 5x and 2x respectively

Age of father 4 years ago = 5x – 4

Age of son 4 years ago = 2x – 4

Now, according to question

(5x – 4)/(2x – 4) = 3 : 1

⇒ 5x – 4 = 6x – 12

⇒ x = 8

Age of father after 6 years = 5x + 6

⇒ (5 × 8 + 6) years

⇒ 46 years

Age of son after 6 years = 2x + 6

⇒ (2 × 8 + 6) years

⇒ 22 years

Required ratio = 46 years : 22 years

⇒ 23 : 11

∴ The ratio of their ages after 6 years is 23 : 11

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