y u use same letter name
ok, we wil cal them kid and mom
k=kid's age
m=mom's age
kid is half mom's age
k=1/2m
next year (both ages increased by 1)
megan's age and mom's age will be perfect square
k+1=r²
m+1=c²
where c and r are whole numbers
ok, one way is to list all the perfect squares, decrease them by 1 and find which ones are double of another perfec tsquare
0,1,4,9,16,25,36,49,64,81,100
decrease by 1
-1,0,3,8,15,24,35,48,63,80,99
ah, 24 and 48
their ages are 24 and 48