Question

sum of the digits of a two-digit number is 11.
The given number is less than the number
obtained by inter Changing the digits by 9. Find the number.​

Answer 1

let the digits be x & y.

Thus x + y = 11..................(i)

and 10x + y + 9 = 10y + x

or, 9x - 9y = -9

or, y- x = 1.....................(ii)

From (i) and (ii) , we have:-

y - x + y + x = 12

or, 2y = 12

or y = 6.

•°• x = 5.

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