SOLUTION: If three times the smaller of two consecutive integers is added to four times the larger, the result is 144. Find the smaller integer.

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Question 345570: If three times the smaller of two consecutive integers is added to four times the larger, the result is 144. Find the smaller integer.
Found 3 solutions by ewatrrr, unlockmath, solver91311:
Answer by ewatrrr(24785)   (Show Source):
You can put this solution on YOUR website!
Hi,
Note: Consecutive Integers differ by 1
.
Let n be the smalller and (n+1) the larger
The Question states the following to be true:

.

.
Check your answer:
60 + 4*21 = 144

Answer by unlockmath(1688)   (Show Source):
You can put this solution on YOUR website!
Hello,
Let x be the smaller number.
3x+4(x+1)=144
Distribute and combine like terms to get:
7x+4=144
Subtract 4 and divide by 7 to result in:
x=20
So we now know the smaller number is:
20
Make sense?
RJ
www.math-unlock.com

Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!

Let represent the smaller of the two consecutive integers. Then represents the larger.

Solve for .

John

My calculator said it, I believe it, that settles it