Question 193356
let  x, y  =age  of  kids
1)x+2=2(y-2)=2y-4,,,,x-2y=-6
2)x+3=3(y-3)=3y-9,,,,x-3y=-12

subt(2)-(1)
y=6
subst  into  (1)
x-2(6)=-6
x=6

check(1)  6+2=2(6-2),,8=8  ,,,ok
check(2) 6+3=3(6-3),,9=9,,,ok

therefore  both  kids  are  6