SOLUTION: if three times the smaller of two consecutive integers is added to four times the larger, the result is 130. find the small integer.

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Question 695723: if three times the smaller of two consecutive integers is added to four times the larger, the result is 130. find the small integer.
Found 2 solutions by mananth, josmiceli:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let the numbers be x & (x+1)
according to the condition
3x+4(x+1) = 130
3x+4x+4=130
7x=130-4
7x=126
x=18
18,19 are the numbers

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = the smaller integer
+n+%2B+1+ = the larger integer
given:
+3n+%2B+4%2A%28+n+%2B+1+%29+=+130+
+3n+%2B+4n+%2B+4+=+130+
+7n+=+126+
+n+=+18+
+n+%2B+1+=+19+
The smaller integer is 18
check answer:
+3n+%2B+4%2A%28+n+%2B+1+%29+=+130+
+3%2A18+%2B+4%2A19+=+130+
+54+%2B+76+=+130+
+130+=+130+
OK