Question

sum of digits of two digit number is 9 when we interchange the digits is found that the resulting number is greater than the original number by 27 what is two digit number

Answer 1

the real two digit number is- 36
i

Answer 2

Let the tens place digit be a

And unit place digit be b

According to first condition,

a + b = 9 ------(1)

According to second condition,

(10b+ a) - (10a + b) = 27

=> 10b + a - 10a - b = 27

=> 9b - 9a = 27

=> b - a = 3 -----(2)

On adding equation 1 and 2, we get

2b = 12

=> b = 6

Now,

On substituting the value of b in equation 1, we get

a + 6 = 9

=> a = 3

Required number = 36