Question

find the three integers in AP such that their sum is 27 and their product is 504

Answer 1

Step-by-step explanation:

Let the numbers be a-d,a,a+d

As per the problem,  

a-d+a+a+d=27

3a=27

a=9

And, (a-d)(a)(a+d)=504

(a*a-d*d)=56

81-d*d=56

d*d=81-56

d*d=25

d=5

Therefore,the numbers are (9-5),(9),(9+5)

=4,9,14.

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