Question

the sum of three number in AP is 27 and their product is 405 find the common difference

Answer 1

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Answer 2

Answer:

D = 46

Step-by-step explanation:

Let's Take The Numbers which are in AP :

a-d , a , a + d

We Have Sum Of These Numbers is equal to 27

a - d + a + a + d = 27

3a = 27

a = 9

And Now We have Their Product Is Equal to 405

(a - d) * (a+d) * a = 405

Putting the value of a = 9

(9 - d) * (9 + d) * 9 = 405

(9 - d) * (9 + d) = 45

81 - d² = 45

d² = 81 - 45

d² = 36

So, D = 6