Question

Section-B
If twice the daughter's age in years is added to father's age, the sum is 41. If twice the
father's age is added to daughter's age, the sum is 61.
(a) Represent the situations using two linear equations in 2 variables.
(b)
Draw the graph of both the equations on the same graph sheet
(c) Find the point of intersection of the two lines from the graph in (b)​

Answer 1

Step-by-step explanation:

a

Currently, if father's age is x and son's age is y,

then given, x+2y=41 --- (1)

2x+y=61 --- (2)

Multiplying equation (1) with 2 we get, 2x+4y=140 --- (3)

Subtracting equation (2) from (3), we get 3y=45⇒y=15

Substituting y=15 in the equation (2), we get

2x+15=95⇒x=40

Hence, the father is 40 years old and the son is 15 years old.