Question

If twice the sons age in years is added to the mothers age the sum is 70 years but if twice the mothers age is added to sons age the sum is 95years find age of mother and son

Answer 1

Let son age = x

mother age = y

We have 2 equations :

2x + y = 70 ....(i)

2y + x = 95.....(ii)

We have to solve this by either elimination or substitution as this is a pair of simultaneous equations. I prefer elimination.

To eliminate x:

(i) ×1 - (ii) ×2

2x + y = 70

-2x + 4y = 190

-3y = -120

y = 60

Substitute y into (i)

2x = 70 - 60

x = 5

So therefore the mother's age is 60 years and the son's age is 5 years

Hope it helps and plzzzzz mark Brainliest