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Rajan@2021
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Find three numbers in AP whose sum is 15 and product is 80.

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One of the basic question from arithmetic progression chapter in which we are find  three numbers in AP is their sum is 15 and product is 80.

RS Aggarwal, Class 10, chapter 5B,  question no 6.

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  1. let ad,a,a+d are three terms of an AP

    according to the problem given,

    sum of the terms=15

    ad+a+a+d=15

    3a=15

    a=15/3

    a=5

    product=80

    (ad)a(a+d)=80

    (a²d²)a=80

    (5²d²)5=80

    25d²=80/5

    25d²=16

    d²=9

    d²=3²

    d=±3

    Therefore,a=5,d=±3

    required 3terms are

    ad=53=2

    a=5

    a+d=5+3=8

    (2,5,8)or(8,5,2)

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