Question

the sum of the digits of a two digit number is 9 on adding 27 to the number its digits are reversed the number is​

Answer 1

Answer:

36

Step-by-step explanation:

Say the 2 digit number is 10x + y

Given, sum of the digits of a two digit number is 9

So, x + y = 9

=> y = 9 -x

Hence, the actual number is 10x + (9-x)

Given that, on adding 27 to the number its digits are reversed .

Implies 10x + y + 27 = 10y + x

=>  10x + (9-x) + 27 = 10(9-x) + x

=> 9x + 9 + 27 = 90 - 9x

=> 18x = 90 - 9 - 27

=> 18x = 81 - 27

=> 18x = 54

=> x = 3

So, y = 9-x = 9-3 = 6

So, actual number is 36.