Let the present age of A be “x” years and B be “y” years.

A. T. P

x-5= 3(y-5)…. 1

x+10= 2(y+10)….. 2

x-5= 3y-15…. From 1

x-3y= -10…….3

x+10= 2y+20……. From 2

x-2y= 10…. 4

On solving eq. 3 and 4, we get

x= 50

y=20

Therefore, the present age of A is 50 years and B is 20 years.