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The difference of the squares of two consecutive odd numbers is 48What are the odd numbers?
Updated: 9/16/2023
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!
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Related questions
What is the LCM of 12 and 48What is the LCM of 12 and 48?
It is: 48
4n equals 48what is n?
4n = 48 4n/4 = 48/4 (Divide by 4 on both sides and then cancel) n = 12
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