SOLUTION: A number consists of two digit whose sum is 9. the Number formed by revising the digits exceeds twice the original number by 18. find the original number.

Algebra ->  Finance -> SOLUTION: A number consists of two digit whose sum is 9. the Number formed by revising the digits exceeds twice the original number by 18. find the original number.      Log On


   

Question 1101100: A number consists of two digit whose sum is 9. the Number formed by revising the digits exceeds twice the original number by 18. find the original number.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
First sentence means, number might be any of 18, 27, 36, 45, 54, 63, 72, 81.


t for TENS
u for ONES
---------------------------------------------------------------------
the Number formed by revisingREVERSING the digits exceeds twice the original number by 18.
---------------------------------------------------------------------

highlight_green%28t%2B10u-2%2810t%2Bu%29=18%29
-
t%2B10u-20t-2u=18
-19t%2B8u=18
8u-19t=18


System: system%288u-19t=18%2Cu%2Bt=9%29

8%289-t%29-19t=18
72-8t-19t=18
-27t%2B72=18
27t-72=-18
27t=72-18
highlight%28t=2%29


The original number is 27.