Question

sourav's age three times of his son age.eight years ago he was four times his son age. find their present age
please step by step explanation​

Answer 1

Answer:

So Son's age=24 yrs and

Saurav's age=24*3=72 yrs

Step-by-step explanation:

Let the present age of son is x

then Saurav's age=3x

8 yrs ago their ages were

Son: x-8

saurav : 3x-8

as per given

3x-8=4(x-8)

3x-8=4x-32

or 4x-32=3x-8

4x-3x=32-8

x=24

So Son's age=24 yrs and

Saurav's age=24*3=72 yrs

Answer 2

$\huge{\blue{\bold{\underline{\underline{Answer :}}}}}$

$\:\:$

$\large{\green{\underline \bold{\tt{Given :-}}}}$

$\:\:$

• Sourav's age is three times of his son's age

$\:\:$

• Eight years ago he was four times his son age

$\:\:$

$\large{\red{\underline \bold{\tt{To \: Find :-}}}}$

$\:\:$

• Their present ages

$\:\:$

$\large{\orange{\underline{\tt{Solution :-}}}}$

$\:\:$

• Let the present age of Saurav be "x"

• Let the present age of his son be "y"

$\:\:$

$\purple{\underline \bold{According \: to \: the \ question :}}$

$\:\:$

Sourav's age is three times of his son's age

$\:\:$

➠ x = 3y ------- (1)

$\:\:$

$\underline{\bold{\texttt{Saurav's age 8 years ago :}}}$

$\:\:$

➠ x - 8

$\:\:$

$\underline{\bold{\texttt{Son's age 8 years ago :}}}$

$\:\:$

➠ y - 8

$\:\:$

Also given that eight years ago Saurav was four times his son age

$\:\:$

So,

$\:\:$

➜ x - 8 = 4(y - 8)

$\:\:$

➜ x - 8 = 4y - 32

$\:\:$

➜ x - 4y = - 32 + 8

$\:\:$

➜ x - 4y = -24 ------ (2)

$\:\:$

⟮ Putting x = 3y from (1) to (2) ⟯

$\:\:$

➜ x - 4y = -24

$\:\:$

➜ 3y - 4y = -24

$\:\:$

➜ -y = -24

$\:\:$

➨ y = 24 -------- (3)

$\:\:$

• Hence his son's present age is 24 years

$\:\:$

⟮ Putting y = 24 from (3) to (1) ⟯

$\:\:$

➜ x = 3y

$\:\:$

➜ x = 3(24)

$\:\:$

➨ x = 72

$\:\:$

• Hence present age of Saurav is 72 years

$\:\:$

∴ The present ages of Saurav and his son are 72 years & 24 years respectively

$\:\:$

═════════════════════════