The larger of two numbers is 10 less than 5 times the smaller. their sum is 146. find the smaller number

X = larger number, y = smaller number

x = 5y - 10

x + y = 146

5y - 10 + y = 146

6y - 10 = 146

6y = 146 + 10

6y = 156

y = 156/6

y = 26 < = = = smaller number

x = 5y - 10

x = 5 (26) - 10

x = 130 - 10

x = 120 ... larger number