Math, asked by vishalAutade, 11 months ago

)") The sum of a two digit number and the number obtained by interchanging its digits
is 99. Find the number.

Answers

Answered by Anonymous
19
HEY ❤️

Let the digit at unit's place be x and that at ten’s place be y .

 Original number = 10y + x

Reversed number = 10x + y




10y + x + 10x + y = 99 \\  \\  \\ 11y + 11x = 99 \\  \\ 11(x + y) = 99 \\  \\ x + y = 9..........(1)


Also, 

When x - y = 3 ---------------- (2)

and x + y = 9

Adding we get 2x = 12


From (1) we get y = 3

Original number = 10y + x

= 36

When x - y = -3 ------------------ (3)

Adding (1) and (3) we get 

and from (1) we get y = 6

Original number = 10y + x

= 63

Hence the number is 36 or 63.


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