SOLUTION: if a number of two digits is divided by th number obtained after reversing the digits, we get 2.08 , if the sum of the digit is 7, find the number.

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Question 257485: if a number of two digits is divided by th number obtained after reversing the digits, we get 2.08 , if the sum of the digit is 7, find the number.
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
Let the original number be expressed as
10t+%2B+u
When you reverse the digits, you get
10u+%2B+t
Now the quotient = 2.08 as
%2810t%2Bu%29%2F%2810u%2Bt%29+=+2.08
We also know that t + u = 7, so t = 7-u. We get
%2810%2A%287-u%2Bu%29%29%2F%2810u%2B7-u%29+=+2.08
This gives us
%2870-9u%29%2F%289u%2B7%29+=+2.08
cross multiplying, we get
70-9u+=+18.72u+%2B+14.56
solving for u, we get
55.44+=+27.72u
u+=+2
t+=+5
original number is 52
reversed number is 25.
quotient is 2.08