SOLUTION: Robert thought of a two digit number whose sum of digits is 14. When he reversed the order of the digit he found that the number he obtained was 18 less than the difference between

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Question 695489: Robert thought of a two digit number whose sum of digits is 14. When he reversed the order of the digit he found that the number he obtained was 18 less than the difference between the age of his father's and his sister. The difference of his father's and sister's age was equal to the original number he thought of. The original number he thought of was?
Answer by josmiceli(19441) (Show Source):
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Let the tens place digit of the number =
Let the units place digit of the number =
given:
(1)
The difference of his father's and sister's age was equal
to the original number he thought of.
(2)
---------------------------
(2)
(2)
(2)
(2)
and
(1)
Add the equations

and
(1)
(1)
(1)
(1)
------------
The original number he thought of was 86
check answer:
(2)
(2)
(2)
(2)
OK