Question

Sum of the digits of a two digit number is 9. When we interchange the digits, it is found that the resulting number is greater than the original number by 27. What is the two digit number?​

Answer 1

Explanation:

⇒ New number = 27 + original number

⇒ 10y + x = 27 + (10x + y)

⇒ 10y + x = 27 + 10x + y

⇒ 10y - y + x - 10x = 27

⇒ 9y - 9x = 27

⇒ y - x = 3    -------- equation (ii)

By adding equation(i) and equation(ii):

x + y + y - x = 9 + 3

⇒ 2y =  12

⇒ y = 6

From equation(i): x + 6 = 9 

⇒ x = 9 - 6 = 3

⇒ x = 3 and y = 6

⇒ The required number is 10x + y = 10 × 3 + 6 = 30 + 6 = 36

hope it helps

Answer 2

Explanation:

Correct answer of this questions is 36