Question

sum of three no. on AP is 30 and their product is 960 . find the number? ​

Answer 1

Answer:

a-d=8,a=10,a+d=12

Step-by-step explanation:

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Answer 2

Answer:

The numbers are 8 , 10 , 12.

Step-by-step explanation:

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

Then according to the question,

a - d + a + a + d = 30

=> 3a = 30

=> a = 10

and (a - d)a(a + d) = 960

=> a (a² - d²) = 960

=> 10 (10² - d²) = 960

=> 100 - d² = 96

=> 100 - 96 = d²

=> 4 = d²

=> d = ± 2

if d = 2

Then the numbers = 10 - 2 , 10 , 10 + 2

i.e. 8 , 10 , 12

if d = -2,

then the numbers = 10 - (-2) , 10 , 10 + (-2)

i.e. 12, 10, 8

Therefore the numbers are 8 , 10 , 12.