SOLUTION: The sum of two-digit number is 9. The original two-digit number is 27 less than the number formed by reversing the digits. Find the original number

Algebra.Com
Question 548685: The sum of two-digit number is 9. The original two-digit number is 27 less than the number formed by reversing the digits. Find the original number
Answer by edjones(8007)   (Show Source): You can put this solution on YOUR website!
t=the ten digit and u=the units digit.
t+u=9
u=9-t
.
10u+t-27=10t+u
10(9-t)+t-27=10t+9-t
90-10t+t-27=10t+9-t
63-9t=9t+9
-18t=-54
t=3
u=6
36 is the original number.
.
Ed

RELATED QUESTIONS

the sum of the digits of a two digit number is 15.if the number formed by reversing the... (answered by cleomenius,MathTherapy)
A number consists of two digits.The digit at the ten's place is two times the digit at... (answered by mananth)
the sum of the digits of a two digit number is 10.the number formed by reversing the... (answered by stanbon)
the sum of the digits of a two digit number is 13. the number formed by reversing the... (answered by swincher4391)
how to set up: a two digit number is 3 times the sum of its digits. the number is also 45 (answered by Theo)
A two digit number is 3 times the sum of it's digits. The number is also 45 less than the (answered by ankor@dixie-net.com)
The sum of the digits of a two digit number is 10 . if the number formed by reversing the (answered by reviewermath)
the ratio of the tens digit to the units digit of a two-digit number is 1 to 4. the... (answered by ankor@dixie-net.com)
the sum of digits of a two digit number is 15.if the number form by reversing the digits... (answered by sudhanshu_kmr)