3 years ago age ratio of son and father was 2 ∶ 3 and After 3 year�

1.	3 years ago age ratio of son and father was 2 ∶ 3 and After 3 year’s ratio becomes 5 ∶ 7. Find the present age of the son.1. 25 years2. 23 years3. 27 years4. 24 years5. None of these
Answer» Correct Answer - Option 3 : 27 years Given: 3 years ago age ratio of son and father = 2 ∶ 3 3 years after age ratio of son and father = 5 ∶ 7 Calculation: Let be 3 years ago the age of son and father be 2x and 3x respectively Now, Total the difference of age between son and father = 3 – (– 3) ⇒ 6 years Now, (2x + 6)/(3x + 6) = 5/7 ⇒ 14x + 42 = 15x + 30 ⇒ 42 – 30 = 15x – 14x ⇒ 12 = x Now, The age of son 3 years ago = 2x ⇒ 2 × 12 ⇒ 24 years Now, The present age of son = The Age of son 3years ago + 3 ⇒ 24 + 3 ⇒ 27 ∴ The Present age of son will be 27 years

3 years ago age ratio of son and father was 2 ∶ 3 and After 3 year’s ratio becomes 5 ∶ 7. Find the present age of the son.1. 25 years2. 23 years3. 27 years4. 24 years5. None of these

Answer» Correct Answer - Option 3 : 27 years

Given:

3 years ago age ratio of son and father = 2 ∶ 3

3 years after age ratio of son and father = 5 ∶ 7

Calculation:

Let be 3 years ago the age of son and father be 2x and 3x respectively

Now,

Total the difference of age between son and father = 3 – (– 3)

⇒ 6 years

Now,

(2x + 6)/(3x + 6) = 5/7

⇒ 14x + 42 = 15x + 30

⇒ 42 – 30 = 15x – 14x

⇒ 12 = x

Now,

The age of son 3 years ago = 2x

⇒ 2 × 12

⇒ 24 years

Now,

The present age of son = The Age of son 3years ago + 3

⇒ 24 + 3

⇒ 27

∴ The Present age of son will be 27 years

Discussion

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