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Divide 32 into five parts in a.p. such that the product of the extremes is to the product of means as 7:15

Divide 32 into five parts in a.p. such that the product of the extremes is to the product of means as 7:15

Grade:12th pass

1 Answers

Arun
25758 Points
4 years ago
Let 5 nos. in A.P. are
a-2d, a-d, a, a+d, a+2d
Sum = 5a = 32
a = 32/5
 
a-2d/a+2d = 7/15
15a- 30d = 7a +14d
8a = 44d
8*32/5 = 44 d
d = 64/55 
Hence now you can get all the numbers

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