Question

Ram is three times as old as Shyam. 2 years ago he was five times as old as Shyam. What is the present age of Ram? *

Answer 1

$Let \: present \:age \: of \: Shyam = x \: years$

$present \:age \: of \: Ram = 3x \: years$

$\underline { \blue { 2 \: years \:ago :}}$

$Shyam's \: age = (x-2) \: years$

$Ram's \: age = (3x-2) \: years$

/* According to the problem given */

$(3x-2) = 5(x-2)$

$\implies 3x - 2 = 5x - 10$

$\implies 3x - 5x = -10 + 2$

$\implies - 2x = - 8$

$\implies x = \frac{- 8 }{-2}$

$\implies x = 4$

Therefore.,

$\red{ Present \:age \:of \: Ram } \\= 3x \\= 3 \times 4 \\\green {= 12 \:years }$

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