Question

If twice the age of son is added to the age of father, the sum is 56. But if twice the age of the father is added to the age of son, the sum is 82. Find the ages of father and son.

Answer 1

Answer:

Son's age = 10

Father's age = 36

Step-by-step explanation:

Let the son's age be x and father's age be y.

ATQ

2x + y = 56 - equation 1

2y + x = 82 or x + 2y = 82 - equation 2

By using substitution method:

From equation 1, y = 56 - 2x

Substituting the value of y from equation 1 in equation 2:

x + 2(56 - 2x) = 82

x + 112 - 4x = 82

-3x + 112 = 82

-3x = 82 - 112

-3x = -30

x = -30/-3

x = 10

Son's age = 10

Father's age = 56 - 2*10 = 56 - 20 = 36

Answer 2

Step-by-step explanation:

• let age of son=x
• age of father=56-2x

a/q

• 2(56-2x)+x=82
• 112-4x+x=82
• -3x=-30
• x=10

hence, son age=10years

father age=56-20=36years