Question 80744
The difference between the square of one even number and the square of the next smaller even number is 52. What is the larger number ?
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Let the larger even number be 2(n+1)
Let the smaller even number be 2n
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EQUATION:
(2n+2)^2 - (2n)^2 = 52

(2n)^2+8n+4 - (2n)^2 = 52
8n+4 = 52
8n=48
n=6
2n=12 (the smaller even number)
2n+2=14 (the larger even number)
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Cheers,
Stan H.