SOLUTION: The sum of two numbers is 51. If twice the smaller number is subtracted from the larger number, the result is 18. Find the two numbers.

Question 825009: The sum of two numbers is 51. If twice the smaller number is subtracted from the larger number, the result is 18. Find the two numbers.
Answer by y6n3o9p4(20) (Show Source): You can put this solution on YOUR website!
Let x = the smaller number, and y = the larger number.
Here is the problem written as a pair of equations:

One method that can be used to solve this is the system of elimination. Subtract the second equation from the first one to isolate the x variable.

Simplify:
Now, plug the number into one of the two equations.

Subtract 11 from both sides to isolate the y variable:
You can check your answer by plugging the numbers into the other equation.
The smaller number is 11, and the larger number is 40.
RELATED QUESTIONS
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 82.If twice the smaller number is subtracted from the larger... (answered by satyareddy22)

The sum of two numbers is 57. If twice the smaller number is subtracted from the larger... (answered by josgarithmetic)

the sum of two numbers is 67. If three times the smaller number is subtracted from the... (answered by ankor@dixie-net.com)

the sum of two numbers is 122. If three times the smaller number is subtracted from the... (answered by Alan3354)

the sum of two numbers is 100. if four times the smaller number is subtracted from the... (answered by josmiceli)

The sum of two numbers is 101. If three times the smaller number is subtracted from the... (answered by solver91311)

the sum of two numbers is 95. If four times the smaller number is subtracted from the... (answered by MathTherapy)