Divide 96 into four parts which are in AP and the ratio between product of their mean to product of their exterme is 15:7

Asked by m_shailander | 17th Feb, 2019, 03:08: PM

Expert Answer:

Let 4 terms of an A. P. a - 3d, a - d,  a + d and a - 3d 
According to the question,
a - 3d + a - d + a + d + a - 3d = 96
4a = 96
a = 24
Also,
begin mathsize 16px style fraction numerator left parenthesis straight a plus straight d right parenthesis left parenthesis straight a minus straight d right parenthesis over denominator left parenthesis straight a minus 3 straight d right parenthesis left parenthesis straight a plus 3 straight d right parenthesis end fraction equals 15 over 7 end style
Solving this we get d = 6 or -6 
Find the numbers.

Answered by Sneha shidid | 18th Feb, 2019, 09:49: AM