One number is 3 more than another. The difference between their square is 63. What are the numbers?

X = y + 3

x^2 - y^2 = 63

(y + 3) ^2 - y^2 = 63

(y + 3) (y + 3) - y^2 = 63

y^2 + 6y + 9 - y^2 = 63

6y + 9 = 63

6y = 54

y = 54/6

y = 9

x = y + 3

x = 9 + 3

x = 12

check ...

x^2 - y^2 = 63 x = y + 3

12^2 - 9^2 = 63 12 = 9 + 3

144 - 81 = 63 12 = 12 (correct)

63 = 63 (correct)

ur 2 numbers are 9 and 12