SOLUTION: The sum of two numbers is 38. The greater number is 5 more than twice the lesser number. What is the greater of the two numbers?

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Question 1149981: The sum of two numbers is 38. The greater number is 5 more than twice the lesser number. What is the greater of the two numbers?

Found 2 solutions by greenestamps, MathTherapy:
Answer by greenestamps(13200) (Show Source):
You can put this solution on YOUR website!

Smaller number = x

So larger number (5 more than twice the smaller) = 2x+5

The sum of the two numbers is 38:

x + (2x+5) = 38

Solve using basic algebra.

Then remember that the question asks for the larger number, which is 2x+5, not x.

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

The sum of two numbers is 38. The greater number is 5 more than twice the lesser number. What is the greater of the two numbers?

Let larger number be L
Then smaller = 38 - L
Also, L = 2S + 5 ------ eq (i)
L = 2(38 - L) + 5 ------ Substituting 38 - L for S in eq (i)
L = 76 - 2L + 5
L + 2L = 76 + 5
3L = 81
L, or larger number =