Question

a number consists of two digits whose sum is 9 if 27 is added to the number its digits interchanged find the number

Answer 1

Answer:36

Step-by-step explanation:

Let the two numbers be x and y.

Therefore,A/Q,

x+y=9

=> x+y-9=0...i

Now, by adding 27 to the number, its digits reverse.

Therefore,A/Q,

10x+y+27=10y+x

=> 9x-9y+27=0

=>x-y+3=0...ii [dividing both sides by 9]

Now by adding I and ii we get,

2x-6=0

=>x=3.

Therefore y=9-3=6

Therefore the required number is 36