135k views
3 votes
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.​

User Takima
by
8.3k points

2 Answers

1 vote

Answer:

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.

User Dr Fabio Gori
by
7.5k points
2 votes

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.

User Nlucaroni
by
8.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories