SOLUTION: Tyler said, "the sum of two numbers is 180 and twice the first number increased by forty is equal to to twice the second number." Help Tyler find the numbers.

Question 170175: Tyler said, "the sum of two numbers is 180 and twice the first number increased by forty is equal to to twice the second number." Help Tyler find the numbers.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
"the sum of two numbers is 180" translates to

"twice the first number increased by forty is equal to to twice the second number" translates to

Start with the second equation

Divide both sides by 2 to isolate y

Break up the fraction.

Reduce

So after isolating y, we get

Go back to the first equation

Plug in

Combine like terms on the left side.

Subtract from both sides.

Combine like terms on the right side.

Divide both sides by to isolate .

Reduce. So this is the first answer.

---------------------------------------------------

Go back to the isolated equation

Plug in

Add. This is the second answer.

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Answer:

So the solutions are and which means that the two numbers are 80 and 100
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