# Difference between revisions of "2012 AMC 12B Problems/Problem 6"

Humzaiqbal (talk | contribs) (Created page with "== Problem== In order to estimate the value of x-y where x and y are real numbers with x <math>\g</math> y") |
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== Problem== | == Problem== | ||

− | In order to estimate the value of x-y where x and y are real numbers with x | + | In order to estimate the value of x-y where x and y are real numbers with x>y>0. Xiaoli rounded x up by a small amount, rounded y down by the same amount, and then subtracted. Which statement is always true? |

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+ | ==Solution== | ||

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+ | Since the original equation x-y now becomes (x+k) - (y-k), where k is a constant. so simplified, the equation becomes: x-y+2k, which is greater than x-y, hence the answer is: A. |

## Revision as of 21:26, 23 February 2012

## Problem

In order to estimate the value of x-y where x and y are real numbers with x>y>0. Xiaoli rounded x up by a small amount, rounded y down by the same amount, and then subtracted. Which statement is always true?

## Solution

Since the original equation x-y now becomes (x+k) - (y-k), where k is a constant. so simplified, the equation becomes: x-y+2k, which is greater than x-y, hence the answer is: A.