SOLUTION: One number is 7 more than the smaller. the difference between 4 times the smaller and twice the larger is 16. find the numbers.

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Question 346731: One number is 7 more than the smaller. the difference between 4 times the smaller and twice the larger is 16. find the numbers.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Hi,
*Note: let n represent the smaller number
The question states the following to be true:
.
Write as you Read:
n and (n + 7) are the two numbers- the larger number being (n + 7)
+4%2An+-+2%2A%28n%2B7%29+=+16
.
Combine like terms and solve for n.
+4%2An+-+2%2An+-14+=+16
+2%2An++-14+=+16
+2%2An++=+30
+n++=+15 15 and 22 are the numbers
.
Check your answer!
4*15 - 2*22 = 16