SOLUTION: the sum of two numbers is 38 the larger number is 8 more than the smaller number what are the numbers

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Question 845066: the sum of two numbers is 38 the larger number is 8 more than the smaller number what are the numbers
Answer by pmesler(52) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = the first number.
Let x + 8 = the second and larger number.
Next we can write x + (x+8) = 38.
Now, we just solve for x.

Combine like terms and we get
2x + 8 = 38.
Subtract 8 from both sides.
2x = 30

Divide each side by two

x = 15.
x + 8 = 23.
Therefore the first number is 8, and the second number is 23.

Let's check.
15 + 23 = 38.