MathDB
Magic Square

Source:

January 1, 2009

Problem Statement

In the magic square shown, the sums of the numbers in each row, column, and diagonal are the same. Five of these numbers are represented by v v, w w, x x, y y, and z z. Find y \plus{} z. <spanclass=latexbold>(A)</span> 43<spanclass=latexbold>(B)</span> 44<spanclass=latexbold>(C)</span> 45<spanclass=latexbold>(D)</span> 46<spanclass=latexbold>(E)</span> 47 <span class='latex-bold'>(A)</span>\ 43 \qquad <span class='latex-bold'>(B)</span>\ 44 \qquad <span class='latex-bold'>(C)</span>\ 45 \qquad <span class='latex-bold'>(D)</span>\ 46 \qquad <span class='latex-bold'>(E)</span>\ 47 [asy]unitsize(10mm); defaultpen(linewidth(1pt)); for(int i=0; i<=3; ++i) { draw((0,i)--(3,i)); draw((i,0)--(i,3)); }
label("2525",(0.5,0.5)); label("zz",(1.5,0.5)); label("2121",(2.5,0.5)); label("1818",(0.5,1.5)); label("xx",(1.5,1.5)); label("yy",(2.5,1.5)); label("vv",(0.5,2.5)); label("2424",(1.5,2.5)); label("ww",(2.5,2.5));[/asy]