SOLUTION: The sum of two numbers is twice their difference. The larger number is 8 more than twice the smaller. Find the numbers.

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Question 357569: The sum of two numbers is twice their difference. The larger number is 8 more than twice the smaller. Find the numbers.

Answer by neatmath(302)   (Show Source): You can put this solution on YOUR website!
Let the large number be x.

Let the smaller number be y.

Therefore, we are given

and

and

and

Then we must solve this system of equations. So by substitution





If y=8 then





The larger number is 24, the smaller number is 8.

I hope this helps!

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