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Analyze the pattern: 7/2=3, 16/9=5, 21/5=8, 43/?

Mathematics

ScanSolve AI Answer

Answer

Sum of top numbers=(Bottom number)2\text{Sum of top numbers} = (\text{Bottom number})^2

Step-by-step solution

3 steps
  1. Analyze the relationship between the numbers in the first set.

    The first set has 7 and 2 at the top, and 3 at the bottom.
    Let's try summing the top numbers and comparing it to the square of the bottom number:

    7+2=97 + 2 = 9 32=93^2 = 9

    The sum of the top numbers equals the square of the bottom number.

  2. Verify the pattern with the second set.

    The second set has 16 and 9 at the top, and 5 at the bottom.
    Let's apply the same pattern:

    16+9=2516 + 9 = 25 52=255^2 = 25

    The pattern holds true for the second set.

  3. Verify the pattern with the third set.

    The third set has 21 and 43 at the top, and 8 at the bottom.
    Let's apply the same pattern:

    21+43=6421 + 43 = 64 82=648^2 = 64

    The pattern holds true for the third set as well.

    The pattern observed in "SAMPLE A" is that the sum of the two numbers in the top boxes is equal to the square of the number in the bottom box.

    The pattern is: Sum of top numbers=(Bottom number)2\text{Sum of top numbers} = (\text{Bottom number})^2.

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