the sum of two number is 50 and their difference is 16 find the number​

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the sum of two number is 50 and their difference is 16 find the number​

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Harper 1 month 2021-09-16T14:16:21+00:00 2 Answers 1 views 0

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    0
    2021-09-16T14:17:27+00:00

    The sum of the two numbers x and y is 50.

    → The first equation is x + y = 50

    The difference is 16.

    → The second equation is |x – y| = 16 (The bigger number is not known.)

    → And this gives x – y = 16 or x – y = -16.

    x + y = 50, x – y = 16

    → x = 33, y = 17

    x + y = 50, x – y = -16

    → x = 17, y = 33

    The two numbers are 33 and 17.

    0
    2021-09-16T14:18:13+00:00

    Answer:

    Let the two no. are = x and y.

    Now,A.T.Q. =======

    x+y = 50 _____ 1)

    x-y = 16 _____ 2)

    From eq. 2) , we get ====

    x = y+16

    Substitute the value of x in eq. 1) , we get======

    y+16+y = 50

    2y+16 = 50

    2y = 34

    y = 17.

    Now, x = 17+16

    x = 33.

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