The age of Sonal and Nitya are in the ratio of 9 : 5 respectively. After 8 years the ratio of their age will be 13 : 9. What is the difference (in years) between their age?

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The age of Sonal and Nitya are in the ratio of 9 : 5 respectively. After 8 years the ratio of their age will be 13 : 9. What is the difference (in years) between their age?

A4 years

B12 years

C6 years

D8 years

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Correct answer is: 8 years Explanation: Let the present age of Sonal and Nitya be 9x and 5x years respectively According to the question, $\frac{9x+8}{8x+8}=\frac{13}{9}$ $⟹81x+72=65x+104$ $⟹81x-65x=104-72$ $⟹16x=32$ $⟹x=\frac{32}{16}=2$ Therefore, Required difference = $9x-5x$ = $4\times 2$ = 8 years Nithin ? answered undefined All Comments

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