Math(Algebra)
posted by Lily on .
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?

just take each fact presented and express it symbolically.
#1.
m,n are the numbers
mn=16
3m = 7n
now solve:
3m3n=48
7n3n=48
4n=48
n=12
so, m=28
#2.
mn=18
2n+3m=74
2n + 3(n+18) = 74
5n + 54 = 74
5n=20
n=4
so, m=22 
Five times a whole number,x, is subtracted from 62. The result is less than 40. Find the three lowest values of x