Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 1 - Problem Solving and Critical Thinking - 1.3 Problem Solving - Exercise Set 1.3 - Page 40: 48

Answer

The complete square is shown below,

Work Step by Step

A magic square is a square array of numbers arranged so that the numbers in all rows, all columns, and the two diagonals have the same sum. In the provided square the sum of diagonal number is, \[96+43+25+78=242\] The sum of numbers of first row should also be 242. Thus, \[\begin{align} & 96+x+37+45=242 \\ & 178+x=242 \\ & x=242-178 \\ & x=64 \end{align}\] The missing number in the first row is 64.
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