SOLUTION: One number is seven more than twice another. If their sum is decreased by nine, the result is thirteen. Find the numbers.

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Question 218361: One number is seven more than twice another. If their sum is decreased by nine, the result is thirteen. Find the numbers.
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
One number is seven more than twice another. If their sum is decreased by nine, the result is thirteen. Find the numbers.

Step 1. Let x be one number

Step 2. Let 2x be twice the number x

Step 3. Let 2x+7 be the other number since it's seven more than twice another.

Step 4 Let x+2x+7 be the sum.

Step 5. Let x+2x+7-9=13 since their sum is decreased by nine and the result is thirteen.

Step 6. Solving yields the following steps:

x%2B2x%2B7-9=13

3x-2=13

Add 2 to both sides

3x-2%2B2=13%2B2

3x=15

Divide by 3 to both sides of the equation

3x%2F3=15%2F3

x=5 then 2x%2B7=17

Check if sum is decreased by 9 to yield 13: 5+17-9=13...which is true statement.

Step 7. ANSWER: The numbers are 5 and 17.

I hope the above steps were helpful.

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And good luck in your studies!

Respectfully,
Dr J
http://www.FreedomUniversity.TV