SOLUTION: Find threee consecutive integers such that the sum of the first plus one-third of the second plus three-fourths of the third is 6.

Question 217675: Find threee consecutive integers such that the sum of the first plus one-third of the second plus three-fourths of the third is 6.
Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
Let,,(x),,,(x+1),,,(x+2),,,be 3 consecutive numbers
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Given,,,,x + (1/3)(x+1) +(3/4)(x+2) = 6,,,,,multiply thru by 12
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12x +4(x+1) +9(x+2) = 72
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12x +4x +4 +9x +18 = 72
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25x = 50
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x=2,,,numbers = 2,,,3,,,4
.
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check,,,,2+ 1/3(3) +3/4(4) = 2+1+3 =6,,,,,ok
.

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