SOLUTION: Find two consecutive whole numbers such that 4/6 of the first number is 12 more than 1/3 the second number.

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: Find two consecutive whole numbers such that 4/6 of the first number is 12 more than 1/3 the second number.      Log On


   

Question 690531: Find two consecutive whole numbers such that 4/6 of the first number is 12 more than 1/3 the second number.
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
Let A = X
Let B = X + 1
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%284%2F6%29X+-+12+=+%281%2F3%29%2A%28X%2B1%29
Lets eliminate the fractions by multiplying everything by 6
4X+-+72+=+2%2A%28X+%2B+1%29
Simplify
4X+-+72+=+2X+%2B+2
Subtract 2X from both sides
2X+-+72+=+2
Add 72 to both sides
2X+=+74
Divide both sides by 2
highlight%28X+=+37%29
highlight_green%28A+=+37%29
B = X + 1
highlight_green%28B+=+38%29