# Product equality and difference puzzle

• K Sengupta
In summary, The product equality and difference puzzle is a visual tool that demonstrates the concept of equality and difference between two products. It consists of two sets of visually similar products with slight differences in features, price, or quality. This can benefit consumers by helping them make informed purchasing decisions and can also be used by businesses as a marketing tool. However, it is not the only indicator of product quality and should be considered alongside other factors such as reviews and personal experiences.
K Sengupta
Substitute each of the capital letters by a base ten digit from 0 to 9 to satisfy this set of cryptarithmetic equations. None of the numbers can contain any leading zero.

ABC*D=C*BCD, and:
BC-CA-AD= 5

Last edited:
a = 1
b = 4
c = 2
d = 6

142 * 6 = 2 * 426
42 - 21 - 16 = 5

This type of puzzle is known as a cryptarithmetic problem, where letters are substituted with numbers to form a mathematical equation. In this case, we are looking for a set of numbers that satisfy the equations ABC*D=C*BCD and BC-CA-AD=5, without any leading zeros.

To solve this type of problem, we can use a trial and error method, starting with the most restrictive equation, which is the second one. Since BC-CA-AD=5, we know that BC must be greater than 5, and AD must be less than 10. We can also deduce that A must be 1, as any other value would result in a negative number for BC-CA-AD.

Using this information, we can continue to test different combinations of numbers for the first equation, ABC*D=C*BCD. After several trials, we can find that the numbers 218*6=1308 satisfy the equation. This means that A=2, B=1, C=8, and D=6.

Therefore, the final solution to the puzzle is 218*6=1308, and BC-CA-AD=5. This type of problem can be solved using logical reasoning and mathematical skills, and it can be a fun and challenging activity for those interested in problem-solving and puzzles.

## 1. What is the purpose of the product equality and difference puzzle?

The purpose of the product equality and difference puzzle is to visually demonstrate the concept of equality and difference between two products. This can help consumers make informed decisions when purchasing products.

## 2. What does the puzzle consist of?

The puzzle consists of two sets of products that are visually similar, but have slight differences in their features, price, or quality. These differences are represented through different shapes, sizes, colors, or other visual elements.

## 3. How does the product equality and difference puzzle benefit consumers?

The product equality and difference puzzle benefits consumers by providing a clear and visual representation of the differences between products. This can help them make more informed decisions when comparing products and choosing the one that best fits their needs and preferences.

## 4. Can the puzzle also be used by businesses?

Yes, the product equality and difference puzzle can also be used by businesses to demonstrate the unique features and qualities of their products compared to their competitors. This can be a useful marketing tool to attract and inform potential customers.

## 5. Is the product equality and difference puzzle a reliable indicator of product quality?

The product equality and difference puzzle is not the only indicator of product quality, but it can be a helpful tool in understanding the differences between products. It is important for consumers to also consider other factors such as reviews, ratings, and personal experiences when evaluating product quality.

Replies
1
Views
2K
Replies
1
Views
3K
Replies
2
Views
3K
Replies
2
Views
2K
Replies
2
Views
3K
Replies
2
Views
2K
Replies
2
Views
3K
Replies
2
Views
2K
Replies
2
Views
2K
Replies
2
Views
2K