SOLUTION: a number is composed of two digits. the sum of the digits is 6. If 36 is subtracted from the number the difference contains exactly the same digits as the original number but in re

Question 757190: a number is composed of two digits. the sum of the digits is 6. If 36 is subtracted from the number the difference contains exactly the same digits as the original number but in reversed order. What is the number?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
a number is composed of two digits. the sum of the digits is 6. If 36 is subtracted from the number the difference contains exactly the same digits as the original number but in reversed order. What is the number?
***
let u=units digit of original number
let t=tens digit of original number
u+t=6
u=6-t
original number=10t+u
..
10t+u-36=10u+t
10t+u-36=10u+t
9t-9u=36
9t-9(6-t)=36
9t-54+9t=36
18t=90
t=5
u=6-t=1
original number=51

RELATED QUESTIONS
The sum of the digits of a two digit number is 10.if 36 is subtracted from the number the (answered by stanbon)

The sum of the digits if a certain two digit number is 6. If the original number is... (answered by Alan3354)

In a number of two digits, the sum of the digits are 14. If 29 is subtracted from the... (answered by kmadison)

The sum of the digits of a two digit number is 14. If 36 is subtracted from the number,... (answered by oberobic)

The sum of the digits of a two-digit number is 14. If 36 is subtracted from the number,... (answered by mananth)

the sum of the digits of a two digit number is 8. if 8 is subtracted from the number the... (answered by ankor@dixie-net.com)

The sum of the digits of a two-digit number is 5. If nine is subtracted from the number,... (answered by Alan3354)

The sum of digits of a two digit number is 9.If 27 is subtracted from the number,then the (answered by Alan3354)

A TWO DIGIT NUMBER IS 7 TIMES THE SUM OF THE DIGITS. THE DIGITS GET INTERCHANGED IF 27 IS (answered by Theo)