A positive integer is divided by a smaller positive integer. The integer part of the quotient is 9 and the remainder is 1. The sum of the two integers is 71. Find the two integers. Write the two answers separated by a comma with no spaces.

Question

rogue · Answer

x + y = 71 
x/y = 9 R 1 

(x-1)/y = 9 
x - 1 = 9y 
x = 9y + 1 

x + y = 71 
(9y + 1) + y = 71 
10 y + 1 = 71 
10y = 70 
y = 7 

x + y = 71 
x + 7 = 71 
x = 64 

x = 64, y = 7