Question

the sum of digits of a two digit number is 5 .on adding 27 to the number it's digits are reversed ​

Answer 1

Answer:

number its digits are reversed.

To find: The original number.

Solution:

Now we have given that The sum of the digits of a two digit number is 5.

So, let the number be 10x + y. Then:

                 x + y = 5

                 x = 5 - y              ......(i)

Now It is given that on adding 27 to the number its digits are reversed.

                 10x + y + 27 = 10y + x

                 9x - 9y + 27 = 0

Now putting (i), in above equation, we get:

                 9(5 - y) - 9y + 27 = 0

                 45 - 9y - 9y + 27 = 0

                 72 = 18y

                 y = 72 / 18

                 y = 4

Now putting y = 4 in equation (i), we get:

                 x = 5 - y

                 x = 5 - 4

                 x = 1

So the number is:

10x + y = 10(1) + 4 = 14

Therefore the number is 14.

Answer 2

Answer:

The answer is = 31

YOUR EXPLANATION

THE answer is = 32

Because 5 + 27 = 31

So the answer is 31