Multiple Choice Questions on The sum of two numbers is 100 and their difference is 37 The difference of their squares is ........ for Mathematics - All Exams Preparation

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Multiple Choice Questions

The sum of two numbers is 100 and their difference is 37 The difference of their squares is ........

Quantitative Aptitude ( CCS) Number System
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    The sum of two numbers is 100 and their difference is 37. The difference of their squares is

    37

    Incorrect Answer

    100

    Incorrect Answer

    63

    Incorrect Answer

    3700

    Correct Answer
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    Explanation:
    Let x = the larger number
    Let y = the smaller number
    x+y = 100
     x-y =  37    Add these two equations together.
    2x = 137
    x = 137/2
    y = 100 - x
    y = 100 - 137/2
    y = 63/2
    (137/2)2 - (63/2)2 = 3700
    Hence, option 4 is the correct answer.

    By: MIRZA SADDAM HUSSAIN
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