SOLUTION: one number is 9 more than the other number. The difference of seven times the smaller number and two times the larger is 157. What are the numbers?

Question 200232: one number is 9 more than the other number. The difference of seven times the smaller number and two times the larger is 157. What are the numbers?
Found 3 solutions by rfer, edjones, solver91311:
Answer by rfer(16322)   (Show Source): You can put this solution on YOUR website!
7x-2(x+9)=157
7x-2x-18=157
5x=175
x=35
x+9=44
Answer by edjones(8007)   (Show Source): You can put this solution on YOUR website!
let the bigger=b and the smaller=s
b=s+9
7s-2b=157
7s-2(s+9)=157
7s-2s-18=157
5s=175
s=35
b=44
.
Ed
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!

Let represent the smaller number. Then the larger number is . Seven times the smaller number is then and two times the larger number is then

The difference between these two quantities:

Remove parentheses:

Add 18 to both sides and collect like terms:

Divide by 5

Check your answer:

7 times 35 is 245, 35 plus 9 is 44 times 2 is 88, 245 minus 88 is 157: Answer checks.

John

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