SOLUTION: A 2 digit number exceeds twice the sum of its digits by 9, that number when reversed gives 8 times the sum of its digits. Find the number

Question 571992: A 2 digit number exceeds twice the sum of its digits by 9, that number when reversed gives 8 times the sum of its digits. Find the number
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let the 10's digit =
Let the 1's digit =
The number is
The number reversed is
--------------------------------
given:
(1)
(2)
--------------------------------------
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
Substitute this into (1)
(1)
(1)
(1)
(1)
(1)
and, since
(2)
(2)
(2)
The number is 27
check:

and

OK

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