Question

4. Represent the situation geometrically and algebraically. If twice the son's age is
added to the age of father the sum is 90. If twice the father's age in years is added
to the age of the son, the sum is 120 find their ages.​

Answer 1

Answer:

let take son's age be x and father's age be y

y+2x=90

2y+x=120

solve these two equation

u will get son's age will be 20 years

Father's age will be 50 years.

Answer 2

Answer:

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

then given, x+2y=70 --- (1)

2x+y=95 --- (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.

I hope this is help you