Question 53
The average of X, Y and Z is 2X. If the average of Y and Z is 20, then what is the value of X?
Solution
The average of X, Y and Z is 2X.
$$\frac{X+Y+Z}{3}\ =2X$$ Eq.(i)
If the average of Y and Z is 20.
$$\frac{Y+Z}{2}\ = 20$$
Y+Z = 40 Eq.(ii)
Put Eq.(ii) in Eq.(i).
$$\frac{X+40}{3}\ =2X$$
X+40 = 6X
6X-X = 40
5X = 40
X = 8
Value of X = 8
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