Question

3. The present age of rahul's father is 5/2 times the present age of rahul after 8 years ages will add to 86 years find their present ages​

Answer 1

$\sf\red{\underline{\underline{Answer:}}}$

$\sf{Ages \ of \ Rahul \ and \ his \ father \ is}$

$\sf{20 \ and \ 50 \ years \ respectively.}$

$\sf\orange{Given:}$

$\sf{\implies{The \ present \ ages \ of \ Rahul's \ father}}$

$\sf{is \ \frac{5}{2} \ times \ the \ present \ age \ of \ Rahul.}$

$\sf{\implies{After \ 8 \ years \ ages \ will \ add \ to \ 86 \ years}}$

$\sf\pink{To \ find:}$

$\sf{The \ present \ ages \ of \ Rahul \ and \ his \ father.}$

$\sf\green{\underline{\underline{Solution:}}}$

$\sf{Let \ the \ age \ of \ Rahul \ be \ x \ years.}$

$\sf{\therefore{His \ father's \ age=\frac{5x}{2}}}$

$\sf{According \ to \ the \ given \ condition}$

$\sf{(x+8)+(\frac{5x}{2}+8)=86}$

$\sf{x+\frac{5x}{2}+16=86}$

$\sf{\frac{2x+5x}{2}=86-16}$

$\sf{\frac{7x}{2}=70}$

$\sf{x=70\times\frac{2}{7}}$

$\boxed{\sf{\therefore{x=20}}}$

$\sf{\therefore{Rahul's \ age=20 \ years}}$

$\sf{Rahul's \ father's \ age=\frac{5}{2}\times20=50 \ years.}$

$\sf\purple{\tt{\therefore{Ages \ of \ Rahul \ and \ his \ father \ is}}}$

$\sf\purple{\tt{20 \ and \ 50 \ years \ respectively.}}$

Answer 2

Answer:

Step-by-step explanation:

let the age of rahul be x.

age of his father = 5/2x

after 8 years,

age of rahul = x+8

age of his father= 5/2x+8

after 8 years the ages will add to 86 years...

this emplies;

x+8+5/2x+8 = 86