Question

the sum of the digit of a 2-digit 5 number is 9.if the digits of the number are reversed the new number is decreased by 9.find the number​

Answer 1

Answer:

Original number is 32.

Step-by-step explanation:

Let the number of unit place is y

and number on tens place is x

Then the number is: 10x + y

Now, According to the question,

x + y = 5    → (1)

and 10y + x =  10x + y - 9

⇒ 9x - 9y = 9

⇒ x - y = 1    → (2)

Solving equation (1) and (2)

we get, x = 3 and y = 2

So the original number is 10x + y = 10 × 3 + 2 = 32