If the sum of two numbers is 14 and their diffenrece is 10

If the sum of two numbers is 14 and their diffenrece is 10. Find the product of these two numbers.
(a) 18
(b) 20
(c) 24
(d) 22

Anurag Mishra Professor Asked on 30th June 2016 in Maths.
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  • 1 Answer(s)

    Answer: (c) 24 

    Explanation:-
    Let the two numbers be X and Y.

    The sum of two numbers is 14.
    Then, X + Y = 14 …………….. (1)

    And their difference is 10.
    Then, X – Y = 10 ………….. (2)
    Add equation (1) & (2).
    Then, X + Y + X  – Y = 14 + 10
    2 X = 24
    X = 24/2
    X = 12
    Then, Y = 14 – 12
    = 2

    So, the product of these to numbers = 12 x 2
    = 24.

    Hence, the correct answer is option (c) 24.

    Anurag Mishra Professor Answered on 1st July 2016.
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