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.

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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) About Me  (Show Source):
You can put this solution on YOUR website!
x+%2B+y+=+25
x+=+25+-+y
3x+=+2y+-5
3%2825-y%29+=+2y+-5
75+-+3y+=+2y+-+5
80+=+5y
16+=+y
So then x = 25-16 = 9

Answer by ewatrrr(24785) About Me  (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