SOLUTION: The sum of two numbers is 27. The larger number is 3 more than the smaller number. What are the two numbers?

Question 580965: The sum of two numbers is 27. The larger number is 3 more than the smaller number. What are the two numbers?
Answer by computergeek008(7) (Show Source): You can put this solution on YOUR website!
Let x be the larger number, and y be the smaller number.
The sum of two numbers is 27. So the equation would be:

The larger number is 3 more than the smaller number. So:
larger number = smaller number + 3
or

Now, we want to get rid of x and solve for y first. Since , we can substitute y+3 for x in the equation .
Therefore:
(y + 3) + y = 27
Combine like terms:
2y + 3 = 27
Subtract 3 on both sides:
2y = 24
Divide both sides by 2:
y = 12
So the smaller number is 12. The larger number is 3 more than the smaller number, so:
x = 12 + 3
x = 15
The 2 numbers are 12 and 15. Check:
12 + 15 = 27
which is correct.

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