Question

The sum of the digit of a 2 digit number is 9. if the digit are reversed, the new number decrease by 27. find the number​

Answer 1

Answer:

10y+x=36.

Step-by-step explanation:

Let one's digit = x

And, ten's digit = y

Therefore, number is 10y+x.

According to the question,

x+y=9       ....(1)

Also,

10y+x+27=10x+y

x−y=3        ......(2)

Solving equation 1 & 2, we get,

x=6 and y=3.

Hence, the original number is 10y+x=36.

Answer 2

Answer:

Let one's digit = x

And, ten's digit = y

Therefore, number is 10y+x.

According to the question,

x+y=9 ....(1)

Also,

10y+x+27=10x+y

x−y=3 ......(2)

Solving equation 1 & 2, we get,

x=6 and y=3.

Hence, the original number is 10y+x=36.