SOLUTION: The sum of the digits of a two-digit number is 7. The number formed by reversing the digits is two more than double the original number. Find the original number.

Question 409852: The sum of the digits of a two-digit number is 7. The number formed by reversing the digits is two more than double the original number. Find the original number.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let the units digit =
Let the tens digit =
the number is:
the number with reversed digits is:
given:
(1)
(2)
---------------------------
(2)
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)

and, since
(1)

The original number is = 25
check answer:
(2)
(2)
(2)
(2)
OK

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