Question

the arthmetic mean of two observation is 25 and their geometric mean is 15 find harmonic mean and two observation​

Answer 1

Step-by-step explanation:

Suppose two numbers are m and n. 

Then, m+n=15

Arithmetic mean (AM) =2(m+n)=215=7.5

GM =mn

According to the given condition AM is 25% greater than GM.

AM = GM ×100125

7.5×100=GM×125

GM=125750=6

GM =6 

Then, mn will be 36.

m+n is given as 15

⇒mn+n2=15n

⇒n2−15n+36=0

⇒(n−12)(n−3)=0

Thus, the numbers are 12 and 3.

Answer 2

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