SOLUTION: The sum of two numbers is 200. The difference between them is 14. Find the two numbers. Let x = the first number and y=the second number. Write two equations. Suppose x>y.

Algebra ->  Equations -> SOLUTION: The sum of two numbers is 200. The difference between them is 14. Find the two numbers. Let x = the first number and y=the second number. Write two equations. Suppose x>y.       Log On


   

Question 1004271: The sum of two numbers is 200. The difference between them is 14. Find the two numbers. Let x = the first number and y=the second number.
Write two equations.
Suppose x>y. The first equation is x+y=200. What would the second equation be?
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

The first equation is x%2By=200.
since x%3Ey and the difference between them is 14,the second equation would be x-y=14
to find x and y, solve the system:
x%2By=200
x-y=14
------------------add both
x%2By%2Bx-y=200%2B14
x%2Bcross%28y%29%2Bx-cross%28y%29=214
2x=214
x=214%2F2
highlight%28x=107%29
now find y
x%2By=200
107%2By=200
y=200-107
highlight%28y=93%29
so, your numbers are highlight%28107%29 and highlight%2893%29