Question

the sum of a two digit number obtained by reversing the digits is 99. if the digits differ by 3 ,find the number​

Answer 1

Answer:

Let the 2 digits be x,y. respectively

2 digit number =10x+y

2 digit number obtained by ususing the digit =10y+x

∴10x+y+10y+x=99

⇒11x+11y=99

⇒x+y=9

x−y=3

On adding : 2x=12

x=6

putting x in ⟶(i)

6+y=9

y=3

∴ Number =10x+y=63

or , 10y+x=36.

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