Question 3 - Figure it out (Page 263) - Hollow Integer Grid - Chapter 10 Class 6 - The other side of Zero (Ganita Prakash)

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Question 3 - Figure it out (Page 264) For the last grid above, find more than one way of filling the numbers to get border sum –4.Let us name the remaining numbers Given Border sum is (–4) For all the rows or columns, we can put any value to get Border sum (–4) In Left column, Let b = –7, so we can make 7 – 7 = 0 Then, a = –4 In Top row, Let e = –7, so we can make 7 – 7 = 0 Then, f = –4 In Right column, e + (–5) + d = –4 Putting e = –7 (–7) + (–5) + d = –4 –(7 + 5) + d = –4 –12 + d = –4 d = –4 + 12 d = 12 – 4 d = 8 In Bottom row, b + c + d = –4 Putting b = –7, d = 8 (–7) + c + 8 = –4 c + 8 – 7 = –4 c + 1 = –4 c = –4 – 1 c = – (4 + 1) c = –5 Thus, our grid looks like