The sum of two consective numbers is divided by their positive difference is equal to 9. Find the larger number

3 answers

The difference between two consecutive integers is 1, right?
If x is the larger, then x-1 is the smaller. So,
(x-1 + x)/(1) = 9
x = 5

Check: 4+5 = 9

Kinda stupid, setting it up so you divide by 1. Just sayin' ...
x+(x+1) / |x-(x+1)| = 9
2x+1 = 9
x = 4
the two number are 4 and 5.
(x + (x+1))/((x+1)-x) = 9
x+x+1 = 9x+9-9x
2x = 8
X = 4 = smaller number.
x+1 = 5 = larger number.