Question

the sum of the digits of a two digit number is 5 on adding 27 to the number its digits are reversed find the original number

Answer 1

Given: The sum of the digits of a two digit number is 5, on adding 27 to the 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

Answer:

               Therefore the number is 14.

Answer:

Answer 2

Step-by-step explanation:

step by step explanation answer is 14 ok.....