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Rajan@2021
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The difference between two numbers is 5 and the difference between their squares is 65. Find the numbers.

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This is the basic and conceptual question from linear equations in two variables in which we have been asked to find the numbers if their difference is 5 and their difference between squares is 65.

Kindly solve the above problem by using the properties of linear equations.

RS Aggarwal, Class 10, chapter 3F, question no 7

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1 Answer

  1. Let x be the first number and y be second number.
    xy=5
    x2y2=65
    (xy)(x+y)=65....(2)

    Now, by dividing (2) by (1) we get:
    x+y=13...(3)

    On adding (1) and (3) we get
    2x=18
    or x=9

    From (3):9+y=13
    Or y=4
    Two numbers are 4 and 9.

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