Use the three steps to solve the problem. One number is 11 more than twice another number. If the sum of the numbers is twice their difference, find the number

Question

Use the three steps to solve the problem.

One number is 11 more than twice another number. If the sum of the numbers is twice their difference, find the numbers.

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Answer 1

One number is 11 more than twice another number

"one number" is x

"another number is y"

So, x=11+2y is how we can write the first sentence. 

If the sum of the numbers is twice their difference, find the numbers.

We can write this sentence as:

  x+y=2(x-y)

Now, use the first equation to substitute for x in the second equation. This will give you y; then use that value in either equation to find x.