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Divide 32 into four parts which are in A.P. such that the ratio of the product of extremes to the product of mean is 7:15.

Divide 32 into four parts which are in A.P. such that the ratio of the product of extremes to the product of mean is 7:15.

Grade:12

1 Answers

Pratik Tibrewal
askIITians Faculty 37 Points
7 years ago
lets say the 4 numbers are: a-3d, a-d, a+d, a+3d
where sum of 4 terms = 32,
hence 4a = 32, implies a = 8;
according to question:
(8-3d)(8+3d)/(8-d)(8+d) = 7/15
solving we get answer: 2,6,10,14

Thanks and Regards,
Pratik Tibrewal
askiitians faculty
BTech IITG

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