Megan is half her mother's age. Next year both Megan's age and her mother's age will be a perfect square. How old is Megan's mother this year?

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