Question

a number has 2 digits whose sum is 9. if 27 is subtracted then the digits are reversed. find the number ​

Answer 1

Step-by-step explanation:

Step 1 :Let the unit’s digit be x

Step 2 :Then, ten’s digit = (9 – x)

∴ Number = 10 × (9 – x) + x

⇒ 90 – 10x + x = (90 – 9x)

Step 3 :Adding 27 to the number 90 – 9x, we get 117 – 9x

Step 4 :Number with digits interchanged is 10x + (9 – x) = 9x + 9

Step 5 :117 – 9x = 9x + 9

Step 6 :Therefore unit’s digit = 6 and ten’s digit = 3

Step 7 :Hence the number = 36.

Answer 2

Answer:

The answer is 99

Step-by-step explanation: Therefore 99 is the 2 digit number which has 9 on adding the two of the digits and when we subtract 27 from 99 we get 72 the reversed answer