Question
Thu October 25, 2012 By: Yashodhan Bhuskute
 

divide 24 in three parts such that they are in AP and their product is 440

Expert Reply
Thu October 25, 2012

The parts are in AP, let the terms be a-d, a and a+d

where the first term =a-d

the common difference =d

Given, sum =24cm

a-d + a+a +d = 24cm

3a = 24cm

a =8cm

Given: Product of the terms = 440

(a-d) (a) (a+d) = 440

(8-d) (8+d) (8) =440

(8-d)(8+d) = 55

82 -d2 = 55

64 - d2 = 55

d2 = 64-55

d2 = 9

d = 3 or -3

AP- a-d , a, a+d

so the AP is 8-3, 8, 8+3 or 8+3,8,8-3

AP = 5, 8, 11 or 11, 8, 5

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