SOLUTION: There are 2 numbers. One number is six greater than another. If the sum of the two numbers is 44, what are the two numbers?

Question 799190: There are 2 numbers. One number is six greater than another. If the sum of the two numbers is 44, what are the two numbers?
Found 2 solutions by mananth, greenestamps:
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let the numbers be x & y , x>y
x+y=44
x-y=6
add the two equations
2x=50
x=25
y=19
the numbers 25 & 19
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

One number is 6 more than the other, and their sum is 44. Suppose we subtract 6 from the larger number; now both the numbers are the same, and their sum is 38. That would make the two numbers each equal to 19. But in fact the numbers are not the same; one is 6 larger than the other. So add 6 to one of the 19s and you get the two numbers: 19 and 25.

That's the informal solution. Algebraically what I did was this:

Especially when you are first learning algebra, it is nice to see that the formal algebra does exactly what you might do informally to solve the problem....
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