the sum of the digits of a two digits number is 15. if the number formed by reversing the digits is less than the original number

2 thoughts on “the sum of the digits of a two digits number is 15. if the number formed by reversing the digits is less than the original number”

1. Step-by-step explanation:

   96 is the right answer of this question

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2. Answer:

   96

   Step-by-step explanation:

   Let the unit’s place=x

   Then the ten’s place=15−x

   ∴ original number=10(15−x)+x=150−10x+x=150−9x

   By reversing the digits, we get

   New number=10x+(15−x)=10x+15−x=9x−15

   According to the problem,

   original number−New number=27

   ⇒150−9x−9x+15=27

   ⇒−18x+165=27

   ⇒−18x=27−165=−108

   ⇒x=

   −18

   −108

   =6

   Hence original number=150−9x=150−9×6=150−54=96

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