find three consecutive numbers such that twice the greatest added to three times the least amount to 34
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EXPLANATION
Let n = the least of the 3 consecutive numbers.
n+1 = the middle number
n+2 = the greatest number
Now build an equation:
Twice the greatest: 2•(n+2)
Added to: +
Three times the least: 3•n
Amount to 34: = 34
Put it all together and solve for n.
2(n+2) + 3n = 34
2n + 4 + 3n = 34
5n = 30
n = 6
n is the least of the 3 consecutive numbers, so…
The 3 consecutive numbers are 6, 7, and 8.
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