SOLUTION: Two numbers sum to 32. Twice the larger subtracted from the smaller is -22. Find the numbers?

Question 666413: Two numbers sum to 32. Twice the larger subtracted from the smaller is -22. Find the numbers?
Answer by ReadingBoosters(3246) (Show Source): You can put this solution on YOUR website!
Establish the variables
x = larger number
y = smaller number
...
Given
x+y = 32
y-2x = -22
...
Rearrange x+y=32 to x = 32-y and substitute into the second given equation
y - 2(32-y) = -22
...
Distribute the 2
y - 64 - -2y = -22
y - 64 + 2y = -22
...
Combine like terms
3y = -22 + 64
3y = 42
...
Divide both sides by 3
as the smaller number
...
Rearrange x+y=32 to y = 32-x and substitute into the second given equation
32-x - 2x = -22
Combine like terms
-3x = -22 - 32
-3x = -54
Divide both sides by -3
as the larger number
....
Check
.....................
Delighted to help.
-Reading Boosters
Wanting for others what we want for ourselves.
www.MyHomeworkAnswers.com
RELATED QUESTIONS
The sum of two numbers is 51. If twice the smaller number is subtracted from the larger... (answered by y6n3o9p4)

the sum of two numbers is 99. if twice the smaller number is subtracted from the larger... (answered by JulietG,DrBeeee)

the sum of two numbers is 44. If twice the smaller number is subtracted from the larger... (answered by rfer)

the sum of two numbers is 92. if twice the smaller is subtracted from the larger, the... (answered by Alan3354)

The sum of two numbers is 82.If twice the smaller number is subtracted from the larger... (answered by satyareddy22)

The sum of two numbers is 50. If twice the larger is subtracted from 4 times the smaller, (answered by checkley77)

The sum of two numbers is 50. If twice the larger is subtracted from four times the... (answered by checkley77)

The larger of two numbers is 5 more than twice the smaller. If the smaller is subtracted... (answered by JulietG)

Two numbers sum to 32. Twice the larger subtracted from the smaller is -22. Find the... (answered by MathTherapy)