Question

In a two digit number, the digit at tens place is 1 more than the digit at unit place. The product of the digits is 20, find the number.​

Answer 1

54.

Explanation:

Let the tens digit be x then the unit digit is x - 1.

So the product = x(x - 1) = 20

x^2 - x = 20

x^2 - x - 20 = 0

(x - 5)(x + 4) = 20

x = 5, -4

As the number is positive x must be 5.

So tens digit is 5 and unit digit is 5 - 1 = 4, and the number is 54.

Answer 2

Step-by-step explanation:

The two-digit number you are looking for has the following characteristics:

1. The digit at the tens place is 1 more than the digit at the unit place.

2. The product of the digits is 20.

Let's use a step-by-step approach to find the number:

Step 1: List the possible pairs of digits whose product is 20.

- 1 and 20

- 2 and 10

- 4 and 5

Step 2: Consider each pair and determine if the tens digit is 1 more than the unit digit.

- For the pair 1 and 20, the tens digit is not 1 more than the unit digit.

- For the pair 2 and 10, the tens digit is not 1 more than the unit digit.

- For the pair 4 and 5, the tens digit is indeed 1 more than the unit digit.

Step 3: Combine the tens and unit digits to form the number.

- In this case, the tens digit is 4 and the unit digit is 5.

- Therefore, the number is 45.

So, the two-digit number that satisfies the given conditions is 45.