In the sequence w, x, y, 30, adding any one of the first three terms

Question

In the sequence w, x, y, 30, adding any one of the first three terms to the term immediately following it yields w/2. What is the value of w ?

(A) –60 
(B) –30 
(C) 0 
(D) 5 
(E) 25

Luckisnoexcuse · Answer

Placing W just before 30 ..on substitution of answers -60 is the correct choice...hence A

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pushpitkc · Answer

Since there is a sequence of numbers, the difference between them must be constant.
Lets evaluate the answer options available.

If w=-60, the difference between the numbers are 30
So the sequence is -60,-30,0,30
Since the sum of any one of the first three numbers with the term immediately following it is w/2
-30 + 0 = -60/2(w/2)

Hence we have our answer. Option A

utkarshthapak · Answer

So, we can say, y + 30 = w/2 or w = 2y + 60.
Similarly, x + y = w/2 or w = 2x + 2y. Substitute w, we get 2y + 60 = 2x + 2y or x = 30.
Now, w + x = w/2 or 2w + 2x = w or w = -2x. Which gives w = -60.

I am doing a calculation error I think. Can someone help with above calculation?

Leo8 · Answer

as per the question , below equations can be formed:

1: w + x =  \frac{w}{2} 
2: x + y =  \frac{w}{2} 
3: y + 30 =  \frac{w}{2}

adding equation 1 & 3 and subtracting the result by equation 2

w + 30 =  \frac{w}{2}

w = -60 ( A)

gupta.vinit · Answer

Bunuel  can you please explain the answer
If W is -60 and x is -30 than how adding both will result in w/2 i.e -30? Similarly adding y and 30 i.e 0 + 30 ≠ w/2 i.e -30.

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Bunuel · Answer

In the sequence w, x, y, 30, adding any one of the first three terms to the term immediately following it yields w/2. What is the value of w ?

(A) –60
(B) –30
(C) 0
(D) 5
(E) 25

Since adding any one of the first three terms to the term immediately following it yields w/2, we get:

w + x = w/2

x + y = w/2

y + 30 = w/2

The first two give w + x = x + y, which yields w = y. Substituting this into the third equation, gives w + 30 = w/2, which yields w = -60.

Thus, w = y = -60, and x = 30.

Answer: A.

In the sequence w, x, y, 30, adding any one of the first three terms

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In the sequence w, x, y, 30, adding any one of the first three terms

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