SOLUTION: How do I set up these word problems? 1. The sum of two numbers is 18. The greater number is 3 less than twice the smaller one. 2. The difference between two numbers is 25. Th

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: How do I set up these word problems? 1. The sum of two numbers is 18. The greater number is 3 less than twice the smaller one. 2. The difference between two numbers is 25. Th      Log On

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Question 940139: How do I set up these word problems?
1. The sum of two numbers is 18. The greater number is 3 less than twice the smaller one.
2. The difference between two numbers is 25. The greater one is 3 more than twice the lesser one. What are the two numbers?

Found 2 solutions by ewatrrr, MathTherapy:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
larger + smaller = 18
s the smaller number, Larger 2s%2B3
....
(2s + 3) + s = 18
3s = 15
s = 5,the smaller number. Larger is 13 2%2A5%2B3
and...checking
sum = 18
...
2.
(2s+3) - s = 25
s = 22, the smaller number. Larger is 47 2%2A22%2B3
and...checking
47 - 22 = 25

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

How do I set up these word problems?
1. The sum of two numbers is 18. The greater number is 3 less than twice the smaller one.
2. The difference between two numbers is 25. The greater one is 3 more than twice the lesser one. What are the two numbers?

Let smaller number be S
Then larger = 18 - S
Therefore, 18 - S = 2S - 3
- S - 2S = - 3 - 18
- 3S = - 21
S, or smaller number = %28-+21%29%2F%28-+3%29, or highlight_green%287%29
Larger number: 18 - 7, or highlight_green%2811%29
Can you do "2" now?