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Saturday 11 February 2017
Question of the day 8-2-2017
In a set of three
numbers, the average of first two numbers is 2, the average of the last two
numbers is 3, and the average of the first and the last numbers is 4. What is
the average of three numbers?
Let the three numbers be x, y, and z. We are given that (x+y)/2=2 =>x+y=4 (y+z)/2=3 =>y+z=6 (x+z)/2=4 =>x+z=8 Summing the three equations yields X+y+y+z+x+z=4+6+8 x+y+z=9
Answer: Option a
ReplyDeleteExplanation:
Let the three numbers be x, y, and z. We are given that
(x+y)/2=2
=>x+y=4
(y+z)/2=3
=>y+z=6
(x+z)/2=4
=>x+z=8
Summing the three equations yields
X+y+y+z+x+z=4+6+8
x+y+z=9
The average of the three numbers is
=9/3=3