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

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) (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

RELATED QUESTIONS
A certain number with two digits is divided by the sum if the digits. The quotient is 6... (answered by ankor@dixie-net.com)

When a certain two digit number is divided by the number obtained by reversing the... (answered by ankor@dixie-net.com)

if a certain number of 2 digits is divided by the sum of its digits the quotient is 3 and (answered by dkppathak)

If a certain two digit number is divided by sum of its digits the quotient is 7 and... (answered by mananth)

The tens digits of a two digit number is 3 less than the units digit. If the number is... (answered by lwsshak3)

The tens digit of a two-digit number is 5 more than the units digit. If "the number" is... (answered by ankor@dixie-net.com)

In a certain number of two digits, the sum of the digits increased by 3, is twice the... (answered by mananth)

the ten's digit of a two digit number is 3 greater than the unit's digit. if the number... (answered by stanbon)