SOLUTION: Find two consecutive odd integers such that their sum is 52 and their product is 675. Numbers have to be entered in increasing order. Thank for the help!

Question 523779: Find two consecutive odd integers such that their sum is 52 and their product is 675.
Numbers have to be entered in increasing order. Thank for the help!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find two consecutive odd integers such that their sum is 52 and their product is 675.
Numbers have to be entered in increasing order.
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1st: 2x-1
2nd: 2x+1
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Equation:
Sum: 4x = 52
Prod: (4x^2-1) = 675
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x = 52/4 = 13
----
Check:
4x^2-1 = 4*13^2-1 = 4*169-1 = 676-1 = 675
=====================
Ans:
1st = 2x-1 = 2*13-1 = 25
2nd = 2x+1 = 2*13+1 = 27
===========================
Cheers,
Stan H.
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