Question

The age of father is 20 years more than twice
the age of the son. If sum of their ages is 65
years, find the age of the son and the father.
athematics - 8​

Answer 1

Let the -

• age of father be x years
• age of son be y years.

The age of father is 20 years more than twice the age of son.

$\sf{According \:to\:question}$

=> x = 2y + 20 ......(1)

Also, given that sum of ages of father and son is 65 years.

=> x + y = 65

=> 2y + 20 + y = 65 [From (1)]

=> 3y = 65 - 20

=> 3y = 45

=> y = 15

$\sf{Substitute \:value\: of \:y\: in\: (1)}$

=> x = 2(15) + 20

=> x = 30 + 20

=> x = 50

•°• Age of father is 50 years and age of son is 15 years.

Verification :

From above calculations age of father = 50 years and age of son = 15 years

And sum of their ages is 65 years.

→ (50 + 15) years = 65 years

→ 65 years = 65 years

Answer 2

Shivnath Sharma

See and try to solve by itself.Atleast one time.

I hope this help you lot!