SOLUTION: one number exceeds the other by 25. If the sum of the two numbers is 13; then what are the exact values of the two numbers?

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Question 1017847: one number exceeds the other by 25. If the sum of the two numbers is 13; then what are the exact values of the two numbers?
Found 2 solutions by Theo, Alan3354:
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
let x equal one of the numbers.
let y equal the other number.

you are given that one number exceeds the other by 25.

you are also given that the sum of the numbers is 13.

the sum of the numbers = 13 becomes x + y = 13

we'll let y = x + 25.

replace y with x + 25 and x + y = 13 becomes x + (x + 25) = 13.

simplify to get x + x + 25 = 13.

combine like terms to get 2x + 25 = 13.

subtract 25 from both sides of the equation to get 2x = 13 - 25.

simplify to get 2x = -12.

solve for x to get x = -6.

since x = -6, and y is 25 more than x, then y must be equal to -6 + 25 = 19.

you have x = -6 and y = 19.

x + y is equal to -6 + 19 which is equal to 13, so this part of the problem statement is good.

y = x + 25 becomes 19 = -6 + 25 which becomes 19 = 19, so this part of the problem statement is good.

your solution is that x = -6 and y = 19.





Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
one number exceeds the other by 25. If the sum of the two numbers is 13; then what are the exact values of the two numbers?
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x + y = 13
x - y = 25
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