1.

A daughter and her mother’s age are in the ratio 4 : 7 respectively. The product of their ages is given to be 1792. What will be the ratio of mother to daughter's age after 7 years? 1. 13 : 212. 21 : 133. 22 : 134. 24 : 135. 15 : 7

Answer» Correct Answer - Option 2 : 21 : 13

Given:

(i) Ratio of daughter and mother’s age = 4 : 7

(ii) Product of their ages = 1792

Calculations:

⇒ let the present age of daughter be 4x.

⇒ let the present age of mother be 7x.

⇒ Product of their ages = 1792

⇒ 4x × 7x = 1792

⇒ 28x2 = 1792

⇒ x2= 1792/28

⇒ x2 = 64

⇒ x = 8

Required Ratio:

⇒ (7x + 7) : (4x + 7)

⇒ (56 + 7) : (32 + 7)

⇒ 63 : 39

21 : 13.



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