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ICSE Class 8 Answered

The sum of the digit of a two digit number is 10. The number formed by reversing the digit is 18 less than the original number. Find the original number. 
Asked by ramdularyyadav | 24 Nov, 2018, 08:09: PM
answered-by-expert Expert Answer
Let unit place digit be x.  Then tenth place digit will be (10-x)
 
The number is (10-x)10+x = 100 - 9x  ..........................(1)
 
Reversing the digit, formed number is 10x + (10-x) = 9x + 10 ................(2)
 
9x+10+18 = 100 -9x ....................(2)
 
solving eqn.(2) we get x =4, then number is 100-9(4) = 64
Answered by Thiyagarajan K | 24 Nov, 2018, 08:35: PM

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