Can someone explain the pattern in the following sequence: 3525 …

Mathematics Questions

Can someone explain the pattern in the following sequence: 3525 = 60, 9110 = 101, 1091 = 101, and what does 5050 equal?

Short Answer

The process to find the number involves separating the digits into the first two and last two digits and summing them. For example, for the number 5050, the calculation is 50 + 50, resulting in 100.

Step-by-Step Solution

Step 1: Understand the Pattern

To find the number represented on the left, observe the structure that links the two segments of digits. Each number can be separated into its first two digits and its last two digits. The important concept here is that the final answer is derived from summing these two parts. This makes it essential to identify which portions of the number you will be working with.

Step 2: Calculate the Sum

Once you’ve identified the first two and last two digits of your number, it’s time to perform the addition. For example, if you take the number 3525, you first add 35 (the first two digits) to 25 (the last two digits). Repeat this with other examples to see how the sums add up:

  • For 3525: 35 + 25 = 60
  • For 9110: 91 + 10 = 101
  • For 1091: 10 + 91 = 101

Step 3: Apply the Process to your Example

Now that you grasp the method, apply it to your specific number, in this case 5050. Split it into 50 and 50 and calculate the sum:

  • 5050: 50 + 50 = 100

This results in the final answer, confirming the pattern holds true for your example as well.

Related Concepts

Pattern

A repeated or regular arrangement of elements, in this case, how numbers can be broken down into two parts for summation.

Digits

The individual numbers from 0 to 9 that combine to form larger numbers; the first two and last two digits of a number are specifically referenced in the process.

Sum

The result obtained by adding together two or more numbers; in this context, it’s the total derived from adding the identified parts of the given number.

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