SOLUTION: the middle digit of 3 digit number is 8 and the sum of the digits is 18. the difference between the number and the number formed by reversing the digits is 198.find the number.

Question 769356: the middle digit of 3 digit number is 8 and the sum of the digits is 18. the difference between the number and the number formed by reversing the digits is 198.find the number.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
the middle digit of 3 digit number is 8 and the sum of the digits is 18. the difference between the number and the number formed by reversing the digits is 198.find the number.
***
let u=units digit
t=tens digit=8
h=hundreds digit
..
u+t+h=18
u+8+h=18
u+h=10
u=10-h
..
(100h+80+u)-(100u+80+h)=198
100h+80+u-100u-80-h=198
99h-99u=198
99h-99(10-h)=198
99h-990+99h=198
198h=990+198=1188
h=1188/198=6
u=10-h=4
t=8
number: 684

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