Question

is the product of two digit number is 6 if 9 is added to the number the number will interchange there place

Answer 1

Answer:

Let the 2digit number be 10x + y

It's reverse will be 10y + x

Now, it is given that if 9 is added to the number the digits of the number are interchanged.

Therefore,

10x + y + 9 = 10y + x

9 = 9y - 9x

9 = 9(y - x)

So, y - x = 1..,………….(1)

Now, it is given that x*y = 20……..(2)

Factors of 20 are -

1*20

2*10

4*5

Looking at the factors, only 4 & 5 satisfy condition (1)

We get, y = 5

And x = 4

So, the number is 45.

Step-by-step explanation: