Question

Q1. If twice the age of son is added to age of father, the sum is 56.
Represent this situation as a linear equation in two variables.​

Answer 1

Answer:

Step-by-step explanation:

Let the mothers current age be x and sons current age be y.

As per the given statement form equations,

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

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

Multiplying the equation (2) by 2 and then subtract the equations:

x+2y=56

4x+2y=164

_____________

−3x=−108

x=  

−3

−108

​  

=36

Substitute the value of x in equation (1),

x+2y=56

36+2y=56

2y=56−36

y=  

2

20

​  

=10

Therefore, the mothers age is 36 and sons age is 10 years.