Question

I'm a two-digit number. If you add or multiply my digits, the answer will be the same. If you subtract my digits, the answer is 0. Who am I?​

Answer 1

The number is 22.

Step-by-step explanation:

Given -

• The asked number consists of two digits.
• By adding or multiplying the digits of asked number , we get the same result.
• By subtracting the digits of the number we get zero.

To find -

• The asked number.

Solution -

Let the number be 10x + y.

According to the second statement ,

10x + y = 10xy-------------(1)

Now, according to the third statment ,

10x - y = 0

→ 10x = y (putting in 1)

→ y + y = (y)y

→2y = y²

On dividing both the sides by 'y' , we get ,

2y/y = y²/y

→ 2 = y

or

y = 2 (putting in 1)

→ 10x + 2 = 10x(2)

→ 10x + 2 = 20x

→ 2 = 20x - 10x

→ 2 = 10x

→ 2/10 = x

→ 1/5 = x

or

x = 0.2

Hence , the number is => 10x + y

=> 10(0.2) + 2

=> 20 + 2

=> 22