SOLUTION: The sum of two numbers is 248. Their difference is 64. find the number.

Question 478004: The sum of two numbers is 248. Their difference is 64. find the number.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
x + y = 264
x - y = 64
use first equation to solve for y and then substitute that value for y in the second equation.
x + y = 264
y = 264 - x
substitute for y in the second equation to get:
x - (264 - x) = 64
remove parentheses to get:
x - 264 + x = 64
combine like terms to get:
2x - 264 = 64
add 264 to both sides of the equation to get:
2x = 328
divide both sides of the equation by 2 to get:
x = 164
substitute for x in the first equation to get:
x + y = 264 becomes:
164 + y = 264
subtract 164 from both sides of the equation to get:
y = 264 - 164 = 100
you have:
x = 164
y = 100
substitute in both original equations to confirm the answer is good.
first equation is x + y = 264
substituting for x and y gets:
164 + 100 = 264 which is true
second equation is x - y = 64
substituting for x and y gets:
164 - 100 = 64
both original equations are true confirming the value of 164 for x and 100 for y are good.

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