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Seven years ago, the ratio of the ages of Sonu and Suresh was 3 : 4 respectively. 9 years hence, the…

The correct choice is: 23 years Seven years ago let the ages be \(3x\) and \(4x\). Nine years from now (16 years later) they are \(3x+16\) and \(4x+16\).…

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Seven years ago, the ratio of the ages of Sonu and Suresh was 3 : 4 respectively. 9 years hence, the ratio of their ages will be 7 : 8 respectively. What is the present age of Suresh?

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Correct answer B

The correct choice is: 23 years

Seven years ago let the ages be 3x3x and 4x4x. Nine years from now (16 years later) they are 3x+163x+16 and 4x+164x+16.

3x+164x+16=78⇒24x+128=28x+112⇒x=4\frac{3x+16}{4x+16} = \frac78 \Rightarrow 24x+128 = 28x+112 \Rightarrow x = 4.

Suresh's present age =4x+7=16+7=23= 4x + 7 = 16+7 = 23.

Hence the answer is 23 years.

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  • NCHM Joint Entrance Examination (NCHM JEE)

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