Best Answer

The numbers are (x) and (x+2).

Their squares are (x)2 and (x+2)2, or (x2) and (x2 + 4x + 4).

The difference between the squares is (x2 + 4x + 4) - (x2) = 4x + 4 = 48

4x + 4 = 48

x + 1 = 12

x = 11 and (x + 2) = 13

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Check:

112 = 121

132 = 169

169 - 121 = 48 yay!

Q: The difference of the squares of two consecutive odd numbers is 48What are the odd numbers?

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It is: 48

4n = 48 4n/4 = 48/4 (Divide by 4 on both sides and then cancel) n = 12