SOLUTION: please help me solved my problem solving (the sum of two number is 143.one number is 49 less than the other. what one the number?}. thank you

Algebra ->  Inequalities -> SOLUTION: please help me solved my problem solving (the sum of two number is 143.one number is 49 less than the other. what one the number?}. thank you      Log On


   

Question 114704: please help me solved my problem solving (the sum of two number is 143.one number is 49 less than the other. what one the number?}. thank you
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
Let one number be x, and the other can be y.

The sum of the two x%2By is 143, so x%2By=143

One of the numbers (x) is (=) 49 less (-49) than the other (y), or x=y-49

Substitute:
x%2By=143
%28y-49%29%2By=143
2y-49=143
2y=192
y=96
Now that we know that y=96, we can insert this value for y into x=y-49.

x=96-49=47

Last step -- VERY IMPORTANT: Check your answer.

96 + 47 = 143, and
96 - 47 = 49, so the answers check.