The average of two number is 20 and standard divination is 5. Find the two numbers.
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let x1 and x2 be the required numbers
given mean is 20
x1 + x2 = 40________(1)
Standard deviation is 5
complete root over =>[(x1−20)2+(x2−20)2]/2−−−−−−−−−−−−−−−−−−−−−√=5−−−−(2)
solving 1 and 2, x1=15 or x1=25 and x2=25 or x2=15
Thus, required numbers are 15 and 25 and the solution is unique
hope you understand:)
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