Question

The difference between a two digits number obtained by interchanging the two digits of the number is 9.If the sum of the two digits of the number is 15 the what is the original number?
find it.​

Answer 1

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.