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Find two numbers whose A.M. is 5 and G.M...

Find two numbers whose A.M. is 5 and G.M. is 4.

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Let the numbers be a and b
`therefore (a+b)/(2)=5=rArra+b=10andsqrt(ab)=4rArrab=16`
`therefore(a-b)^(2)=(a+b)^(2)-4ab=10^(2)-4(16)=100-64=36`
`thereforea-b=6 " " therefore2a=16rArra=8andb=2`
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