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

1 answer:

7 0

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

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I believe this will explain what is actually happening in these type of questions

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