Multiple Choice Questions on What is the sum of two consecutive even numbers the difference of whose squares is 84 ........ for Mathematics - All Exams Preparation

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Multiple Choice Questions

What is the sum of two consecutive even numbers the difference of whose squares is 84 ........

Quantitative Aptitude ( CCS) Number System
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    What is the sum of two consecutive even numbers, the difference of whose squares is 84?

    34

    Incorrect Answer

    38

    Incorrect Answer

    42

    Correct Answer

    46

    Incorrect Answer
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    Explanation:

    Let the number be x and x+2
    Then (x+2)²− x² = 84
    x² + 4 + 4x − x² = 84
    4x + 4 = 84
    4x=84−4
    4x =80
    x=20
    The required sum = x + (x+2) = 2x + 2 = 2×20 + 2 = 42

    Hence, option 3 is the correct answer.

    By: MIRZA SADDAM HUSSAIN
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