SOLUTION: the two positive digits has a product of 24 and when the numbers are reverse the number increase by 18 more than the original.calculate

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Question 1112871: the two positive digits has a product of 24 and when the numbers are reverse the number increase by 18 more than the original.calculate
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39799) About Me  (Show Source):
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t, the tens digit
u, the units or ones digit

system%28tu=24%2Ct%2B10u-%2810t%2Bu%29=18%29
Simplify and solve for t and u.



--
-9t%2B9u=18
-t%2Bu=2
u=t%2B2
-
t%2A%28t%2B2%29=24
Factors of 24 which differ by 2?
6 and 4.

The greater digit should be t%2B2=6.
Original Number:
46.

Answer by ikleyn(53763) About Me  (Show Source):
You can put this solution on YOUR website!
.
The correct answer is 46.

The answer "64" given by @josgarithmetic is INCORRECT.


On reversing digits in 2-digit numbers see the lesson
    - Word problems on reversing digits of numbers
in this site.