SOLUTION: What is the solution to this problem? The sum of two numbers is 25. Three times the smaller number is equal to five less than two times the larger. Find the two numbers.

Question 358558: What is the solution to this problem? The sum of two numbers is 25. Three times the smaller number is equal to five less than two times the larger. Find the two numbers.
Found 2 solutions by vleith, ewatrrr:
Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!

So then x = 25-16 = 9
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

Hi,
Let n represent the smaller number. Then (25-x) would be the larger.
3x = 2(25-x) -5
Simplify and Solve
3x = 50 - 2x - 5
5x = 45
x = 9
Smaller number is 9, the larger number is 16
checking our answer
3*9 = 27 = 2*16 - 5
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