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Solve for the missing number in the following equations: - (12 / 3) = 6 18 + + 12 = 98 5 + + 12 = 95

Mathematics

ScanSolve AI Answer

Answer

10
68
78

Step-by-step solution

3 steps
  1. Solve .

    The problem is □−(12÷3)=6\square - (12 \div 3) = 6.
    Let the missing number be xx.

    x−(12÷3)=6x - (12 \div 3) = 6

    First, calculate the division in the parentheses:

    x−4=6x - 4 = 6

    Add 4 to both sides of the equation:

    x=6+4x = 6 + 4 x=10x = 10

    The student's work incorrectly substituted 30 for the missing number, which led to 30−4=2630 - 4 = 26, not 6. The subsequent step 18÷3=618 \div 3 = 6 is a separate true statement but does not follow from the equation.
    The missing number is 10\boxed{10}.

  2. Solve the problem 18+□+12=9818 + \square + 12 = 98.

    Let the missing number be yy.

    18+y+12=9818 + y + 12 = 98

    Combine the constant terms on the left side:

    30+y=9830 + y = 98

    Subtract 30 from both sides of the equation:

    y=98−30y = 98 - 30 y=68y = 68

    The missing number is 68\boxed{68}.

  3. Solve the problem 5+□+12=955 + \square + 12 = 95.

    Let the missing number be zz.

    5+z+12=955 + z + 12 = 95

    Combine the constant terms on the left side:

    17+z=9517 + z = 95

    Subtract 17 from both sides of the equation:

    z=95−17z = 95 - 17 z=78z = 78

    The missing number is 78\boxed{78}.

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