MathDB
2023 Individual #12

Source:

April 26, 2023
2023 Individual

Problem Statement

There are ten apples and pp pears in a basket. Anna eats two apples, and she finds that there are now more pears than apples. She then eats four pears. After eating the pears, she notices that there are more apples than pears. What is the sum of all possible values of pp?
<spanclass=latexbold>(A)</span>19<spanclass=latexbold>(B)</span>28<spanclass=latexbold>(C)</span>30<spanclass=latexbold>(D)</span>42<spanclass=latexbold>(E)</span>45<span class='latex-bold'>(A) </span> 19\qquad<span class='latex-bold'>(B) </span> 28\qquad<span class='latex-bold'>(C) </span> 30\qquad<span class='latex-bold'>(D) </span> 42\qquad<span class='latex-bold'>(E) </span> 45