# Difference between revisions of "2001 AMC 12 Problems"

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== Problem 4 == | == Problem 4 == | ||

+ | The mean of three numbers is <math>10</math> more than the least of the numbers and <math>15</math> | ||

+ | less than the greatest. The median of the three numbers is <math>5</math>. What is their | ||

+ | sum? | ||

+ | |||

+ | <math>\text{(A)}\ 5\qquad \text{(B)}\ 20\qquad \text{(C)}\ 25\qquad \text{(D)}\ 30\qquad \text{(E)}\ 36</math> | ||

[[2001 AMC 12 Problems/Problem 4|Solution]] | [[2001 AMC 12 Problems/Problem 4|Solution]] |

## Revision as of 14:10, 16 February 2008

## Contents

- 1 Problem 1
- 2 Problem 2
- 3 Problem 3
- 4 Problem 4
- 5 Problem 5
- 6 Problem 6
- 7 Problem 7
- 8 Problem 8
- 9 Problem 9
- 10 Problem 10
- 11 Problem 11
- 12 Problem 12
- 13 Problem 13
- 14 Problem 14
- 15 Problem 15
- 16 Problem 16
- 17 Problem 17
- 18 Problem 18
- 19 Problem 19
- 20 Problem 20
- 21 Problem 21
- 22 Problem 22
- 23 Problem 23
- 24 Problem 24
- 25 Problem 25
- 26 See also

## Problem 1

The sum of two numbers is . Suppose is added to each number and then each of the resulting numbers is doubled. What is the sum of the final two numbers?

## Problem 2

Let and denote the product and the sum, respectively, of the digits of the integer . For example, and . Suppose is a two-digit number such that . What is the units digit of ?

## Problem 3

The state income tax where Kristin lives is levied at the rate of $p%$ (Error compiling LaTeX. ! Missing $ inserted.) of the first <dollar/> of annual income plus $(p + 2)%$ (Error compiling LaTeX. ! Missing $ inserted.) of any amount above <dollar/>. Kristin noticed that the state income tax she paid amounted to $(p + 0.25)%$ (Error compiling LaTeX. ! Missing $ inserted.) of her annual income. What was her annual income?

<dollar/><dollar/><dollar/><dollar/><dollar/>

## Problem 4

The mean of three numbers is more than the least of the numbers and less than the greatest. The median of the three numbers is . What is their sum?