Question

divide 96 into four parts which are in ap and the ratio between product of their means to product of their extremes is 15:7

Answer 1

lets say the 4 numbers are: a-3d, a-d, a+d, a+3dwhere sum of 4 terms = 32,hence 4a = 32, implies a = 8;according to question:(8-3d)(8+3d)/(8-d)(8+d) = 7/15solving we get answer: 2,6,10,14
Thanks and Regards,Pratik Tibrewalaskiitians facultyBTech IITG