If 249=126, 313=190, and 636=513, what does 555 equal?…

Mathematics Questions

If 249=126, 313=190, and 636=513, what does 555 equal?

Short Answer

The process involves identifying a positive correlation between two numbers, calculating their differences, and establishing a constant difference of 123. This rule can then be applied to find the second number corresponding to any given first number, such as determining that the second number for 555 is 432.

Step-by-Step Solution

Step 1: Identify the Pattern

To understand the relationship between the two numbers, we first need to observe the *transformation* between the first number and the second number. It appears that as the first number increases, the second number also shows an *increase*, signifying a positive correlation.

Step 2: Calculate the Differences

Next, we will compute the *difference* between the two numbers in the provided transformations. By doing this, we look for consistency, which will help us form a rule for the transformation:

  • 249 – 126 = 123
  • 313 – 190 = 123
  • 636 – 513 = 123

This shows that the difference between the two numbers remains constant at 123.

Step 3: Apply the Pattern

Now that we have determined that the difference is always 123, we can apply this rule to find the corresponding second number for any first number. For example, if the first number is 555:

  • 555 – 123 = 432

Thus, the second number associated with 555 is 432.

Related Concepts

Transformation

The change or alteration from one state to another, in this case, the modification of the first number to result in the second number

Positive Correlation

A relationship where an increase in one variable leads to an increase in another variable, indicating a direct relationship between the two

Difference

The result of subtracting one number from another, used here to analyze the consistency between two sets of numbers.

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