imc

Question

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, w, x, y, and z. Find y + z. FIGURE

Accepted Answer

We know that y+z=2v, so we could find one variable rather than two. v+24+w=43+v 24+w=43 w=19 FIGURE 44+x=24+x+z z=20 FIGURE The sum per row is 25+21+20=66. Thus 66-18-25=66-43=v=23. Since we needed 2v and we know v=23, 23 2 = 46.