SOLUTION: when a two digit number is divided by the sum of digits,the quotient is 8. If the tens digit is diminissed by 3 times the unit digit the remainder is 1. What are the number?

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Question 972774: when a two digit number is divided by the sum of digits,the quotient is 8. If the tens digit is diminissed by 3 times the unit digit the remainder is 1. What are the number?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
when a two digit number is divided by the sum of digits,the quotient is 8. If the tens digit is diminished by 3 times the unit digit the remainder is 1. What are the number?
***
let u=units digit
let t=tens digit
..
%2810t%2Bu%29%2F%28t%2Bu%29=8
t-3u=1
t=3u+1
..
10t+u=8t+8u
7u=2t
7u=6u+2
u=2
t=3u+1=7
What is the number? 72