SOLUTION: Two positive numbers have a difference of 10. The larger number is three more than twice the smaller. Find the two numbers.

Question 871041: Two positive numbers have a difference of 10. The larger number is three more than twice the smaller. Find the two numbers.
Answer by JulietG(1812) (Show Source): You can put this solution on YOUR website!
Let A be the larger number and B be the smaller.
A - B = 10
A = 2B + 3
Substitute the known value of A from the second equation into the first
(2B+3) - B = 10
Add
B + 3 = 10
Subtract 3 from each side
B = 7
.
If there is a difference of 10, then A = 17.
Does that work? Is 17 "three more than twice" 7? 17 = (2*7)+3
Success!
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