Quantitative - Mathematics - Word Problems:

Number System - All NUMBERS on the Tests

MCQ - 472-13239

Question:

If K is the sum of three consecutive even integers and y is the sum of the greatest three consecutive odd integers that precede the least of the three even integers, express y in terms of K.

y = K -5
y = K -10
y = K -15
y = K -10
The answer can not be determined from the information given.

Correct Answer: C

Explanation:

Let x = lowest of the three consecutive even integers. This makes the other two x + 2 and x + 4.

The odd integers preceding x are x - 5, x - 3, and x - 1.

k = x + x + 2 + x + 4 = 3x + 6

y = x - 5 + x - 3 + x - 1 = 3x - 9 = 3x + 6 - 15 = k - 15

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