Question

If twice the age of son is added to age of father the sum is 56 but if twice the age of father is added to the age of son the sum is 82 find the ages of father and son

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Answer 1

Answer:

present age of father is 36yrs and of son is 10 yrs.

Step-by-step explanation:

Let the present age of son be x,and of father be y.

by the first condition,

2x+y=56.....(1)

by the second condition,

x+2y=82.....(2)

multiplying equation (1) by 2,

4x+2y=112....(3)

subtracting equation (2)&(3),

3x=30

x=10

put x=10 in equation (1),

2x+y=56

2(10)+y=56

20+y=56

y=56-20

y=36.

Therefore, present age of son is 10 yrs and of father is 36 yrs.

Answer 2

Answer :

›»› The age of father = 36 years

›»› The age of son = 10 years

Given :

• If twice the age of son is added to age of father the sum is 56 but if twice the age of father is added to the age of son the sum is 82.

To Calculate :

• The age of father = ?
• The age of son = ?

How To Calculate ?

❒ Here in this question we have to find the age of father and age of son. So, firstly we have to assume the age of son be x and age of father be y. after assuming, we will find the age of father and age of son on the basis of conditions given above$.$

Required Solution :

Let ,

The father age be "x" and the son age be "y"

2x + y = 56 .....1

x + 2y = 82 .....2

Solving equation (1) and equation (2)

⇒ 2x + y - 2x - 4y = 56 - 164

⇒ y - 4y = 56 - 164

⇒ -3y = 56 - 164

⇒ -3y = -180

⇒ 3y = 180

⇒ y = 36

Put the value of y in equation (1)

⇒ 2x + 36 = 56

⇒ 2x = 56 - 36

⇒ 2x = 20

⇒ x = 10

Therefore ,

• Age of son = x = 10 years
• Age of father = y = 36 years

║Hence, the age of son is 10 years, and the age of father is 36 years.║