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Question

The sum of three numbers in A.P is 15 and their product is 80. Find the numbers.

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Solution

Let the first term be a and common difference be d.

The three terms are,

ad,a,a+d

As, the sum of three terms is 15, then,

ad+a+a+d=15

3a=15

a=5

As, the product of three terms is 80, then,

(5d)5(5+d)=80

5(25d2)=80

25d2=16

d2=9

d=±3

The numbers are 2,5,8 or 8,5,2.


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