Question

If the A.M and G.M between two numbers are respectively 17 and 8, Find the numbers.

Answer 1

Answer:

32 and 2

Step-by-step explanation:

A,M of a,b = a+b/2=17

a+b=34—-------—–—----(1)

G.M of a,b =

$\sqrt{ab} = 8$

so ab=64—————------—--—-—--—-—-—-(2)

by (1) a+b=34 so b=34-a

ab=a(34-a)=64

a^2-34a+64=0

a^2-2a-32a+64=0

a(a-2)-32(a-2)=0

(a-2)(a-32)=0

a =2,32

b=32,2

or the two numbers are 32 and 2

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