SOLUTION: the sum of two digit number and the number obtained by reversing the order of its digits is 165.if the digits differ by 5,find the number.

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Question 883504: the sum of two digit number and the number obtained by reversing the order of its digits is 165.if the digits differ by 5,find the number.
Answer by lwsshak3(11628) About Me  (Show Source):
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he sum of two digit number and the number obtained by reversing the order of its digits is 165.if the digits differ by 5,find the number.
***
let u=units digit
let t=tens digit
t-u=5
t=u+5
..
10t+u+10u+t=165
10(u+5)+u+10u+u+5=165
10u+50+u+10u+u+5=165
22u=110
u=5
t=u+5=10
number: 10t+u=100+5=105