Four years ago, Shyam's age was 3/4 times of that of Ram. Four year hence, Shyam's age will be 5/6 times that of Ram. What is the present age of Shyam?

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Four years ago, Shyam's age was 3/4 times of that of Ram. Four year hence, Shyam's age will be 5/6 times that of Ram. What is the present age of Shyam?

A15 yr

B20 yr

C16 yr

D24 yr

Nithin ? Aug 14 '2022 at 21:12

Correct answer: 16 yr

Explanation:

4 yr ago, let Ram's age = x yr and Shyam's age = \(\frac{3}{4}x\) yr

 

Now, Ram's present age = (x + 4) yr and Shyam's present age = (\(\frac{3}{4}x\)+4) yr
According to the question,
\(\large\frac{5}{6}(x + 4 + 4) = \left(\frac{3}{4}x + 4 + 4\right)\)

4 (5x + 40) = 6(3x + 32)

20x + 160 = 18x + 192

2x = 32

x = 16

Hence, present age of Shyam

\(= \large\frac{3}{4}\times 16 + 4\)

\(=16 \text{ yr}\)

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Correct answer: 16 yr Explanation: 4 yr ago, let Ram's age = x yr and Shyam's age = \(\frac{3}{4}x\) yr   Now, Ram's present age = (x + 4) yr and Shyam's present age = (\(\frac{3}{4}x\)+4) yr According to the question, \(\large\frac{5}{6}(x + 4 + 4) = \left(\frac{3}{4}x + 4 + 4\right)\) 4 (5x + 40) = 6(3x + 32) 20x + 160 = 18x + 192 2x = 32 x = 16 Hence, present age of Shyam \(= \large\frac{3}{4}\times 16 + 4\) \(=16 \text{ yr}\) Nithin ? answered Aug 14 '2022 at 21:12 All Comments

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