The total of the ages of Jayant, Prem and Saransh is 93years. Ten years ago, the ratio of their ages was $2 : 3 : 4.$ What is the present age of Saransh?

24 years

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32 years

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34 years

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38 years

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Solution

The correct option is D 38 years
$10 y e a r s a g o a g e o f J a y a n t = 2 K 10 y e a r s a g o a g e o f P r e m = 3 K 10 y e a r s a g o a g e o f S a r a n s h = 4 K s o t h e i r c u r r e n t a g e s w i l l b e r e s p e c t i v e l y 2 K + 10, 3 K + 10 a n d 4 K + 10 n o w s u m o f a g e s = 93 y e a r s ∴ 2 K + 10 + 3 K + 10 + 4 K + 10 = 93 9 K + 30 = 93 9 K = 63 K = 7 ∴ p r e s e n t a g e o f s a r a n s h = (4 \times 7) + 10 = 28 + 10 = 38 y e a r s$

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