1.

The ratio of ages of Son and Mother is 3 : 7 and the ratio of ages of Son and Father is 2 : 5. If the sum of the ages of Father and Mother is 58 years. Then find the present age of Son.1.10 years.2.12 years.3. 15 years.4. 18 years.5. 16 years.

Answer» Correct Answer - Option 2 :

12 years.


Given:

Ratio of ages of Son : Mother = 3 : 7

Ratio of ages of Son : Father = 2 : 5

Age (M) + Age (F) = 58 years

Calculation:

Son 

 Mother 

 Father 

3×2

7×2

 

2×3

 

5×3

6

14

15

Let the ages be 6x, 14x and 15x.

According to  the question,

Age (M) + Age (F) = 58yrs.

⇒14x + 15x = 58yrs.

⇒ 29x = 58

⇒ x = 2

⇒ Age of a Son = 6x

⇒ 6 × 2 = 12 years

∴ Age of a son is 12 years.



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