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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 |
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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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