SOLUTION: Is there anyone who can help me with this problem? I have worked it and I am not sure if my answer is correct. It is an Algebraic word problem. The sum of two numbers is 32.

Question 121077: Is there anyone who can help me with this problem? I have worked it and I am not sure if my answer is correct. It is an Algebraic word problem.
The sum of two numbers is 32. Their difference is 6. What are the two numbers?
The answers I came up with is 16 and 26, is that correct? I would appreciate your help.
Thank you
Answer by praseenakos@yahoo.com(507) (Show Source): You can put this solution on YOUR website!
Question:
The sum of two numbers is 32. Their difference is 6. What are the two numbers?
Answer:

Assume that the numbers are x and y( Take x as the larger number).

Given, their sum is 32.

==> x + y = 32 -----------------(1)

Also given that their difference is 6.

==> x - y = 6 ------------------(2)

Add (1) and (2)

==> x + y + (x - y ) = 32 + 6

==> x + y + x - y = 38

==> x + x + y - y = 38

==> 2x = 38

Divide both sides by 2.

==>

==> x = 19

So the larger number is 19.
So the other number is 32-19

==> y = 13

So the numbers are 19 and 13.

Hope you found the explanation useful.

Regards.

Praseena.

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