Fantastic Five

Level pending

The sum of five real numbers is 6, and the sum of their squares is 20. Let a and b be the minimum and maximum values, respectively, of any one of the numbers. Then a + b a+b can be written as m n \frac{m}{n} , where m and n are positive coprime integers. Find m + n m+n .


The answer is 17.

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1 solution

Waqar Vickzza
Jan 14, 2014

let x-2,x-1,x,x+1,x+2 be the five real no"s their sum will be 5x=6 => x=6/5 smallest will be a=x-2 largest will be b=x+2...............................put values and get ur result....

How do you know the numbers are x-2, x-1, x, x+1, x+2

minimario minimario - 7 years, 4 months ago

Inthe question what is meant by maximum and minimum values of one of the numbers?

Eddie The Head - 7 years, 4 months ago

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If the numbers are a, b, c, d, e, in increasing order, then what is the minimum value of a and the maximum value of b?

Michael Tang - 7 years, 4 months ago

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