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# If x = 2u, then the average (arithmetic mean) of x and u, in terms of

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If x = 2u, then the average (arithmetic mean) of x and u, in terms of [#permalink]
Bunuel wrote:
If x = 2u, then the average (arithmetic mean) of x and u, in terms of u, is

A. u/3
B. u/2
C. 2u/3
D. 3u/4
E. 3u/2

PS21156

Solution

• $$x = 2u …….Eq.(i)$$
• We need to find the arithmetic mean of x and u in terms of u.
o Now, arithmetic mean of x and u$$= \frac{x + u}{2}$$
o Substituting the value of x fron Eq.(i) into the above equation, we get,
o Arithmetic mean of x and u $$= \frac{2u + u}{2} = \frac{3u}{2}$$
Thus, the correct answer is Option E.

Alternately,

• We can check by picking up the numbers.
o For example, consider $$u = 1 ⟹ x = 2u =2*1 = 2$$
o So arithmetic mean of 1 and 2 $$= \frac{1+2}{2} = \frac{3}{2}$$
• Now, if we check answer options by substituting u = 1 in them, only Option E gives $$\frac{3}{2}$$.
Thus, the correct answer is Option E.
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Re: If x = 2u, then the average (arithmetic mean) of x and u, in terms of [#permalink]
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Re: If x = 2u, then the average (arithmetic mean) of x and u, in terms of [#permalink]
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