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A triangle has numbers in its three vertices and one in the center. If the top-left is 9, the bottom is 8, and the center is 98, what is the top-right number, given the pattern (Top-left * Top-right)

Mathematics

ScanSolve AI Answer

Answer

10\text{10}

Step-by-step solution

4 steps

To solve this puzzle, we will use the pattern identified in the previous problems, which relates the numbers at the vertices of the triangle to the number in the center.

  1. Identify the known values and the unknown.

    The top-left number is 9.
    The bottom number is 8.
    The center number is 98.
    Let the missing top-right number be XX.

  2. Apply the established pattern.

    The pattern is: (Top-left number×Top-right number)+Bottom number=Center number(\text{Top-left number} \times \text{Top-right number}) + \text{Bottom number} = \text{Center number}.
    Substitute the known values into the pattern:

    (9×X)+8=98(9 \times X) + 8 = 98
  3. Solve the equation for XX.

    First, subtract 8 from both sides of the equation:

    9X=98−89X = 98 - 8 9X=909X = 90

    Next, divide both sides by 9:

    X=909X = \frac{90}{9} X=10X = 10
  4. State the missing number.

    The missing number in the top-right circle is 10.

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