Question

4. Divide 96 into four parts which are in A.P. and
the ratio between product of their means to
product of their extremes is 15 : 7.​

Answer 1

Answer:

4a=96

a=96/4=24

Step-by-step explanation:

a-d(a+d)divided by a-3d(a+3d)=15/7

Answer 2

Answer:

The four numbers are 6,18,30,42

Step-by-step explanation:

let 4 terms of an AP be a-3d,a-d,a+d,a+3d

⇒(a−3d)+(a−d)+(a+d)+(a+3d)=96  

⇒4a=96

⇒a=24

and,

$\frac{(a+d)(a-d)}{(a-3d)(a+3d)}$=$\frac{15}{7}$

solving this we get d=±6

the four numbers are-6,18,30,42

-----------------------------------------------------------------------------------------------