Question

Sum of the digits of a tua digits is 11
the given number is less than the number
obtained by interchenging the digits by
Find the number​

Answer 1

Answer:

We know that the sum of the two digits is 11.

Therefore x + y = 11.

The number obtained by reversing the digits is 9 less than the original number.

Reversing the digits would get us the number 10y + x

And we know that 10y + x = 10x + y - 9

or 9x - 9y = 9. or x - y = 1.

Add the two equations and we get:

x + y + x - y = 11 + 1 or 2x = 12 or x = 6.

And x - y = 1 and therefore y = 5

Therefore the number is 65.

Step-by-step explanation: