Question

7.
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.​

Answer 1

Answer:

Let the digits be x and y

then the no. will be (10x+y)

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

10x+y+9=10y+x

9x+9=9y

9x-9y= -9

x-y= -1

x=y-1

putting x=y-1 in (i)

y-1+y=11

2y=12

y=6

from (i)

x+6=11

x=5

therefore,

the 2-digit no. is 56....

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