One number exceeds another by 44. the sum of the numbers is 24. what are the numbers?

Let, the numbers = x, y

x+y = 24 1st eqn

x-y = 44 2nd eqn

24-y-y = 44

-2y = 44-24

y = 20/-2 = - 10

substitute that in equation 1st x = 24+10 = 34

so, the numbers would be 34 & - 10