Question

sum of the 2digit number is 9.if the digits are reversed ,the new number so formed increases by 27.fimd the number. ​

Answer 1

Let the unit digit be y and tens digit be x.

• Number formed - 10x+y
• Reverse number - 10y+x

x+y=9(given).........(i)

1. 10y+x=10x+y+27

Or y-x=3..........(ii)

Solving i and ii we get y=6 and x=3

The number will be 10*3+6=36

Ans The number is 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.