Question

Total age of father and son is 90 years and age of father is double of son. what will be the age of father and son after 10 years. ​

Answer 1

Answer:

Son's age = 40 yrs and Father's age = 70 yrs

Step-by-step explanation:

Let the son's age be 'x' yrs.

Father's age = 2x yrs

As per the sum ,

x + 2x = 90

3x = 90

x = 30

Son's age = 30 yrs

Father's age = 60 yrs

After 10 yrs ,

Son's age = 40 yrs

Father's age = 70 yrs [ may be died before that ]

Answer 2

$\textsf{\underline{\underline{Answer :-}}}$

The age of Father is 70 years and Son is 40 years after 10 years.

$\textsf{\underline{\underline{Explanation :-}}}$

$\text{\underline{Given : }}$

Total of the age of father and son = 90

Father = Double of son

$\text{\underline{To find :}}$

Their ages after 10 years

$\text{\underline{Solution :}}$

Consider Son's age as x

Consider father's age as 2x

$\star$ Equation :-

$\boxed{\tt{x + 2x = 90}}$

$\tt{\implies}x + 2x = 90$

$\tt{\implies}3x = 90$

$\tt{\implies}x = \dfrac{90}{3}$

$\tt{\implies}x = 30$

Value of 2x

$\tt{\implies}2 \times x$

$\tt{\implies}2 \times 30$

$\tt{\implies}60$

$\boxed{\tt{son \: = 30 \: years \: old}}$

$\boxed{\tt{father\: = 60 \: years \: old}}$

Age After 10 years :

Son's age =

$\sf{\implies}$ 30 + 10

$\sf{\implies}$ 40

Father's age =

$\sf{\implies}$ 60 + 10

$\sf{\implies}$ 70

$\therefore$ The age of Father is 70 years and Son is 40 years after 10 years.