Find two positive numbers a and b whose AM and GM are 34 and 16respect – InterviewSolution

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1.

Find two positive numbers a and b whose AM and GM are 34 and 16respectively.

Answer»

a+b/2 = 34 hence a+b = 68 .256 = ab.from here, u get :a(68-a)=256a2-68a+256=0(a-4)(a-64)=0hence,a= 4 or a = 64b=64 or b = 4

hence numbers are 4 and 64.

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