Question

The sum of digits of a 2-digit number is 11. If 9 is added to the number, its digits are reversed. Find the number
Step by step explanation​

Answer 1

Step-by-step explanation:

Let the number be 10y+x

x+y=11....(1)

10y+x+9=10x+y

9y-9x=-9

y-x=-1......(2)

From (1),x=11-y

Put x in (2)

y-11+y=-1

2y=10

y=5

x=6

Number=56

Answer 2

Answer:

let the digits be x and y

x + y = 11

=x=11-y

so no. is 10x+y

10x+y+9=10y+x(number is reversed on adding 9)

=9x+9=9y

=x+1=y

=11-y+1=y

=12=2y

=y=6

So, x=11-6=5

So, number is 5×10 + 6=56

Hope it helps

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