The product of two numbers is 162. If their sum is 27, find the numbers

Question

The product of two numbers is 162. If their sum is 27, find the numbers

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Lyla 2 weeks 2021-09-14T05:25:28+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-09-14T05:26:42+00:00

    Let first number=x

    second number=y

    A.T.Q

    xy=163………i)

    x+y=27

    x=27-y

    putting value of x in eq. i)

    0
    2021-09-14T05:26:55+00:00

    let two number be x and y,

    so,

    we get,

    xy= 162 …….( i )

    x + y = 27. ……….( ii )

    from equation ( i ) we get,

    y = 162 / x

    on putting this value in equation …( ii )

    x + ( 162 / x ) = 27

    taking L.C.M on L.H.S

    ( x² + 162 )/ x = 27

    on cross multiplying we get,

    x² + 162 = 27x

    x² – 27x + 162 = 0

    x² – 18x – 9x + 162 = 0

    x ( x – 18 ) – 9 ( x – 18 ) = 0

    we get,

    ( x – 9 ) ( x – 18 ) =0

    we get

    x= 9 and x = 18

    and on putting those value on by one we get y as

    y = 18 and y = 9

    HOPE THIS HELPS

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