Question

3.
The sum of the digits of a 2-digit number is 9. If the
number obtained by interchanging the order of digits
is 27 more than the original number, find the number,​

Answer 1

ANSWER

96

let the number be xy

x+y=9.........EQ 1

10x+y=original number

BY interchangeing digits

yx

10y+X=10x+y+27

9y-9x=27

y-x=3..........EQ 2

ADD EQ 1 AND 2

2Y=12

Y=6

PUT VALUE IN EQ 2

6-x=3

X=9

96 IS THE ANSWER

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