The difference between two numbers is 77. Five times the smaller is equal to 7 more than the larger. What are the numbers?

Answer 1

smaller ---- x
larger ----- x+77

5x = x+77 + 7
4x = 84
x = 21

smaller is 21 , larger is 98

check:
is their difference equal to 77? yes
5 times the smaller --> 105
7 more than the larger -- 98+7 or 105
all is good!