Posted by **Lily** on Tuesday, February 7, 2012 at 7:38pm.

How would you set this problem up and work it: The difference between two numbers is 16. Three times the larger number is seven times the smaller. What are the numbers?

This one also: The differnce between two numbers is 18. The sum of twice the smaller number and three times the larger is 74. What are the numbers?

- Math(Algebra) -
**Steve**, Wednesday, February 8, 2012 at 5:14am
just take each fact presented and express it symbolically.

#1.

m,n are the numbers

m-n=16

3m = 7n

now solve:

3m-3n=48

7n-3n=48

4n=48

n=12

so, m=28

#2.

m-n=18

2n+3m=74

2n + 3(n+18) = 74

5n + 54 = 74

5n=20

n=4

so, m=22

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