A person will devote 31 years to be sleeping and watching tv. The number of years sleeping will exce

A person will devote 31 years to be sleeping and watching tv. The number of years sleeping will exceed the number of years watching tv by 19. How many years will the person spend on each of these activities

Let s be sleeping years and t be tv years, we have two equations:

1. s + t = 31
2. s = t + 19

Substitute (2) into (1)
(t + 19) + t = 31

Combine like terms:
2t + 19 = 31

Using our equation solver, we get t = 6. Using equation (2), we have
s = 6 + 19
s = 25