<PRE><B>Question 1019942</B>
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The difference of squares of two consecutive even natural numbers is 60. Find the numbers. 
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1st:: 2x
2nd: 2(x+1)
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[2(x+1)]^2 - (2x)^2 = 60
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4[x^2 + 2x + 1] - 4x^2 = 60
4x^2 + 8x + 4 - 4x^2 = 60
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8x - 56 = 0
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x = 7


First number = 2x = 14
Second nimber = 2x + 2 = 16
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Check: 16^2 - 14^2 = 256 - 196 = 60.


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