Question

the present age of ramu's father is 3 times that of ramu .after 5 years sum of the ages will be 70 years find their present ages ​

Answer 1

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Answer 2

AnswEr :

$\bullet\:\sf\ Let \: the \: present \: age \: of \: Ramu \: be \: x \: years$

$\bullet\:\sf\ So, \: the \: age \: of \: Ramu's \: father \: is \: 3x \: years$

$\rule{100}{1}$

$\underline{\bigstar\:\textsf{After \: 5 \: years :- }}$

$\normalsize\ : \implies\sf\ (Ramu's \: age + 5) + (Ramu's \: father \: age + 5) = 70 \\ \\ \normalsize\ : \implies\sf\ (x + 5) + (3x + 5) = 70 \\ \\ \normalsize\ : \implies\sf\ x + 5 + 3x + 5 = 70 \\ \\ \normalsize\ : \implies\sf\ 4x + 10 = 70 \\ \\ \normalsize\ : \implies\sf\ 4x = 60 \\ \\ \normalsize\ : \implies\sf\ x = \frac{\cancel{60}}{\cancel{4}} = 15$

$\rule{100}2$

$\normalsize\star\:\sf\ Present \: Age \: of \: Ramu :$

$\normalsize\ : \implies\sf\ Age_{Ramu} = x = 15$

$\normalsize\ : \implies{\boxed{\sf{Present \: Age \: of \: Ramu = 15 \: years}}}$

$\rule{100}2$

$\normalsize\star\:\sf\ Present \: Age \: of \: Ramu' \: father :$

$\normalsize\ : \implies\sf\ Age_{R's \: father} = 3x = 3 \times\ 15 \\ \\ \normalsize\ : \implies\sf\ Age_{R's \: father} = 45$

$\normalsize\ : \implies{\boxed{\sf{Present \: Age \: of \: Ramu's \: father = 45 \: years}}}$