the sum of two number is 37. The difference between the two same numbers is 9. Find the two numbers, listing the larger value first
Let x be the larger number and y be the smaller number.
From the information given, we can write two equations:
1. x + y = 37
2. x - y = 9
To solve these two equations simultaneously, we can add the equations to eliminate y:
(x + y) + (x - y) = 37 + 9
2x = 46
x = 23
Now, substitute x back into one of the original equations to solve for y:
23 + y = 37
y = 37 - 23
y = 14
Therefore, the two numbers are 23 and 14.