SOLUTION: The sum of the two numbers is 39. When the smaller number is doubled and the larger is increased by 3, the resulting numbers are equal. What are the numbers?
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Question 252993: The sum of the two numbers is 39. When the smaller number is doubled and the larger is increased by 3, the resulting numbers are equal. What are the numbers? Answer by ptaylor(2198) (Show Source):
You can put this solution on YOUR website! Let x=smaller number; 2x=smaller number doubled
Then 39-x=larger number; 39-x+3=42-x=larger number increased by 3
Now we are told that 2x=42-x add x to each side
3x=42
x=14---------smaller number
39-x=39-14=25----larger number
CK
2*14=25+3
28=28
We can also solve this using two unknowns:
x=smaller number
y=larger number
x+y=39---------------------eq1
and
2x=y+3-----------------------eq2
From eq2, y=2x-3; substitute this into eq1
x+2x-3=39 add three to both sides
3x=42 same as before
Hope this helps----ptaylor
