SOLUTION: if a certain number with two digits is divided by the sum of the digits, the quotient is 6 and the remainder is 5. The difference between the given number and the number formed by

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: if a certain number with two digits is divided by the sum of the digits, the quotient is 6 and the remainder is 5. The difference between the given number and the number formed by       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 965390: if a certain number with two digits is divided by the sum of the digits, the quotient is 6 and the remainder is 5. The difference between the given number and the number formed by reversing the digits is 18. find the given number
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
if a certain number with two digits is divided by the sum of the digits, the quotient is 6 and the remainder is 5. The difference between the given number and the number formed by reversing the digits is 18. find the given number
***
let u=units digit
let t=tens digit
..
(10t+u)/(u+t)=6+5/(u+t)
lcd: (u+t)
10t+u=6u+6t+5
10t+u-10u-t=18
..
4t-5u=5
9t-9u=18
..
36t-45u=45 (mult eq. by 9)
36t-36u=72 (mult eq. by 4)
subtract:
9u=27
u=3
4t=5+5u=20
t=5
number: 10t+u=50+3=53