Question

Prabhats age is one fourth of his father's age.five years now prabhat age will be one third of his father's present age.find their present age.

Answer 1

Answer:

Step-by-step explanation:

Given :-

Prabhat's age is one fourth of his father's age.

Five years now prabhat age will be one third of his father's present age.

To Find :-

Their Present Age

Solution :-

Let Present Age of Parbhat's Father be x.

And the Present age of Parbhat = x/4

Age of Prabhat after 5 years = x/4 + 5 = x + 20/4

According to the Questions,

⇒ x + 20/4 = x/3

⇒ 3x + 60 = 4x

⇒ 4x - 3x = 60

⇒ x = 60

Hence, Present  age of Father  = 60 years

And The  Present age of Prabhat = 60/4 = 15 years

Answer 2

Answer:

$\huge{\underline{\underline{\mathfrak\red{Answer:- }}}}$

$\diamond\: \rm Present \: age \: of \: Prabhat = {\boxed{\sf\green{15 \: years }}}$

$\diamond\: \rm Present \: age \: of \: his \: father = {\boxed{\sf\blue{60 \: years }}}$

$\rule{200}{1}$

Let age of Prabhat's father be x years.

$\therefore$ Present age of Prabhat = x/4 years.

After 5 years,

• Age of Prabhat = [(x/4) + 5] years.

A/Q,

$\dashrightarrow\sf \dfrac{x}{4} + 5 = x \times \dfrac{1}{3} \\\\\dashrightarrow\sf \dfrac{x + 20}{4} = \dfrac{x }{3} \\\\\dashrightarrow\sf 4x = 3(x + 20) \\\\\dashrightarrow\sf 4x = 3x + 60 \\\\\dashrightarrow\sf 4x - 3x = 60 \\\\\dashrightarrow\large{\underline{\boxed{\sf\green{x = 60 \: years }}}}$

$\therefore{\underline{\text{Present \: age \: of \: Prabhat's \: father = 60 \: years }}}$

$\rule{100}{1}$

• Age of Prabhat

$\dashrightarrow\sf Age \: of \: Prabhat = \dfrac{x}{4} \\\\\dashrightarrow\sf Age \: of \: Prabhat = \cancel{\dfrac{60}{4}} \\\\\dashrightarrow\large{\underline{\boxed{\sf\blue{Age \: of \: Prabhat = 15 \: years }}}}$

$\therefore{\underline{\underline{\text{Their \: present \: ages = 60 \: years \: \& \: 15 \: years \: respectively }}}}$