Answer:

mother - 32 years old

son - 8 years old

Let x - be the son age

4x - be the mother's age

Add both expression by 5,

x+5,

4x + 5

Then, equate the mother's age with the son's age with the new condition which 2 years younger than thrice of her son,

(4x + 5) = 3 ( x + 5) - 2

Then, simplify

4x + 5 = 3x + 15 - 2

4x + 5 = 3x + 13

4x - 3x = 13 - 5

x = 8

Then, substitute it to our first expressions which are x and 4x

mother's age -> 8(4) = 32

son's age -> = 8