Answer:

56

Step-by-step explanation:

The difference between the two digit number and the number obtained by interchanging the two digits of the number is 9 the sum of the digit of the number is 15 . What is the product of the two digits of the two digit number?

Let the units place digit be y and tens place digit be x.

So the two digit number is 10x+y.

Now, by interchanging the digits we get 10y +x.

By the given condition,

10x+y-(10y+x) =9

So,10x+y-10y-x=9

9x-9y=9

x-y=1 _____(1)

Now ,we have the sum of digits,

x+y=15_____(2)

ADDING EQN.(1) AND (2),

2x=16

x=8

So, 8-y=1

y=7

Now the product of two digits is,

x×y=8×7

x×y=56

So the answer is 56.