Question

Divide 96 into 4 parts which are in ap and the ratio between product of their means to product of the extreme is 15:7

Answer 1

the numbers are 6,18,30,42,where d=12 and a=6 if you have doubt please ask me in comments

Answer 2

Answer:

Step-by-step explanation:

96 in 4 parts means there are 4 terms in AP and are in the form a:b::c:d .........(1)

Means - b and c, bc = 15

Extremes - a and d, ad =7

Factors of 15 are 3&5 .............(2)

Factors of 7 are 1&7 ................(3)

Now,

From (1),(2)&(3)

1:3::5:7=96

1x + 3x + 5x + 7x =96

16x=96

x=6

1(6)+3(6)+5(6)+7(6)=96

6+18+30+42

AP: 6,18,30,42

n=4 a=6 d=12

Guys I just tried this way and I got the answer!!

Maybe there is some other method but this is fine. Go ahead and try the problems before you see it in sites

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