SOLUTION: The difference between two numbers is 44. Five times the smaller is equal to 8 more than the larger. What are the numbers?

Click here to see ALL problems on Numbers Word Problems

Question 1092346: The difference between two numbers is 44. Five times the smaller is equal to 8 more than the larger. What are the numbers?

Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39630) (Show Source):
You can put this solution on YOUR website!
13 and 57

-
57-13=44
and
5*13=57+8
65=65

Answer by greenestamps(13215) (Show Source):
You can put this solution on YOUR website!

The difference between two numbers is 44.
[x is the larger; y the smaller]

Five times the smaller is equal to 8 more than the larger.

Usually if the two equations are given in this form, I use substitution, even though in general I much prefer elimination. Solve the first equation for x and substitute in the second equation.

The two numbers are 13 and 57.