SOLUTION: Two numbers have a sum of 47 their difference is 5. what are the two numbers?

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Question 223977: Two numbers have a sum of 47 their difference is 5. what are the two numbers?
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Two numbers have a sum of 47 their difference is 5. what are the two numbers?

Step 1. Let x be one number

Step 2. Let 47-x be the other number since their sum is 47

Step 3. Let 47-x-x=5 be the difference be between the two numbers

Step 4. Then 47-2x=5. Solving yields the following steps

47-2x=5

Add 2x-5 to both sides of the equation

47-2x%2B2x-5=5%2B2x-5

42=2x

Divide 2 to both sides of the equation

42%2F2=2x%2F2

21=x then the other number is 47-21=26. Note the difference between these two numbers is 5.

Step 5. ANSWER: The numbers are 21 and 26.

I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J