Question

In a two-digit number, the unit's digit is 2 more than that of the ten's digit. The sum of the digits is 27 less than the number. Find the product of the digits of the number. answer in one variable ​

Answer 1

Explanation:

Let the unit digit be x

and the tens digit be x-2

The Sum of digits is x + x - 2

= 2x - 2

Now,

⇒ 10(x - 2) + x

⇒ 10x + 20 + x

⇒ 11x - 20

Now, According to Question

⇒ 11x - 20 - 27

⇒ 11x - 2x = -2 + 47

⇒ 9x = 45

⇒ x = 5

Now,

The tens digit ⇒ x - 2

putting the value of x in equation

⇒ 5 - 2 = 3

So, the product of the digits is 3 × 5

Hence, The product of the digits of the number is 15