the sum of two digit number and tge number obtained by interchanging the digits is 99.If the digits differ by 3.Find the number.
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Step-by-step explanation:
Let the 2 digits be x,y. respectively
2 digit number =10x+y
2 digit number obtained by using 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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