It's only 3 numbers... How hard can it be?

Probability Level 2

The mean of three numbers is 14 more than the least of the numbers and 23 less than the greatest. The median of the three numbers is 13. What is their sum?


The answer is 66.

Finn Hulse by Finn Hulse , 21, USA

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1 solution

Finn Hulse
Mar 22, 2014

This is a pretty simple system of equations. Let's let x x be the smaller value, and y y be the larger. We have two equations:

x + 14 = x + y + 13 3 x+14=\frac{x+y+13}{3}

y − 23 = x + y + 13 3 y-23=\frac{x+y+13}{3}

Solving, we find that the values are 8,13, and 45.

16 Helpful 0 Interesting 0 Brilliant 0 Confused

how we can solve?

Pranav Khisti - 7 years, 2 months ago

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It's a matter of preference. For me, I used substitution.

Finn Hulse - 7 years, 1 month ago

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