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Question 378574: Find three consecutive interges such that the sum of twice the smalles and 3 times the largest is 126
Answer by rapaljer(4671) (Show Source):
You can put this solution on YOUR website! Let x = smallest integer
x+1 = middle integer
x+2= largest integer
The equation is in the sentence "the sum of twice the smallest and 3 times the largest is 126". Translated, this means
2( ) + 3( ) = 126
2(x) + 3(x+2)=126
2x + 3x+6 = 126
5x+6=126
5x=120
x=120/5=24 smallest
x+1=25 middle
x+2=26 largest
Check:
2*24 + 3*26
48 + 78
126
It checks!!
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Seminole State College of Florida
Altamonte Springs Campus
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