SOLUTION: Find 3consecutive integers so that twice the first added to five times the second exceeds three times the third by 51.

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Question 913223: Find 3consecutive integers so that twice the first added to five times the second exceeds three times the third by 51.
Answer by mananth(16946) About Me  (Show Source):
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Find 3consecutive integers so that twice the first added to five times the second exceeds three times the third by 51.
3consecutive integers be x, x+1 & x+2
so that twice the first= 2x
added to five times the second =5(x+1)
exceeds three times the third =3(x+2)
by 51.
2x+5(x+1)=3(x+2) +51
2x+5x+5=3x+6+51
4x=52
x= 13
13,14,15
=