Question

The age of Ramu’s father is three times that of Ramu. After 5 years their sum of their ages will be 70. Fine their ages.

Answer 1

||✪✪ QUESTION ✪✪||

The age of Ramu’s father is three times that of Ramu. After 5 years their sum of their ages will be 70. Fine their ages.

|| ✰✰ ANSWER ✰✰ ||

Given That, The age of Ramu’s father is three times that of Ramu .

So, Lets Assume That, Ramu Present age = x years

Than, His Father Age = 3x years.

Now,

→ After 5 years Ramu will be = (x+5) years old .

→ His Father will be = (3x+5) years old.

Now , given that , Sum of Their ages will be 70.

So,

→ (x + 5) + (3x + 5) = 70

→ 4x + 10 = 70

→ 4x = 60

→ x = 15 .

So,

→ Ramu Present age = x years = 15 years.

→ His Father Age = 3x years. = 3*15 = 45 years.

Hence, Ramu is 15 years old and his father is 45 years old.

Answer 2

AnswEr :

$\bullet\normalsize\sf\ Present \: age \: of \: Ramu \: is \: 15yrs.$

$\bullet\normalsize\sf\ Present \: age \: of \: Ramu's \: father \: is \: 45yrs.$

$\underline{\bigstar\:\textsf{According \: to \: given \: in \: question:}}$

$\normalsize\ : \implies\sf\ Let \: the \: Age \: of \: Ramu = M yrs. \\ \\ \normalsize\ : \implies\sf\ So, \: Age \: of \: Ramu's \: father = 3M \: yrs.$

$\scriptsize\sf{\: \: \: \: \: \:( \therefore\ \: \red{After \: 5 \: years }) }$

$\normalsize\ : \implies\sf\ (M + 5) + (3M +5) = 70 \\ \\ \normalsize\ : \implies\sf\ 4M + 10 = 70 \\ \\ \normalsize\ : \implies\sf\ 4M = 60 \\ \\ \normalsize\ : \implies\sf\frac{60}{4} = M \\ \\ \normalsize\ : \implies\sf\ M = 15$

$\rule{100}2$

$\underline{\bigstar\:\textsf{Block \: the \: values \: in \: available \: data:}}$

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

$\normalsize\ : \implies\sf\ M = 15 \\ \\ \normalsize\ : \implies{\boxed{\sf{ Present \: age \: of \: Ramu = 15yrs.}}}$

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

$\normalsize\ : \implies\sf\ 3M = 3 \times\ 15 = 45 \\ \\ \normalsize \ : \implies{\boxed{\sf{Present \: age \: of \: Ramu's \: father = 45yrs.}}}$

$\therefore\underline{\textsf{Hence, \: the \: present \: age \: of \: Ramu \: is \: 15yrs. \: and \: present \: age \: of \: Ramu's \: father \: is \: 45yrs.}}$