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IKMC 2009 - Grades 5-6 Question 28

IKMC · IKMC 2009 - Grades 5-6

Question 28

In a $4\times2$ table, two numbers are written in the first row. Each next row contains the sum and the difference of the numbers written in the previous row (see the picture for an example). In a $7\times2$ table, filled in the same way, the numbers of the last row are 96 and 64. What is the sum of the numbers in the first row of that $7\times2$ table?

Question illustration

| | |
|---|---|
| 10 | 3 |
| 13 | 7 |
| 20 | 6 |
| 26 | 14 |
  1. 8
  2. 10
  3. 12
  4. 20
  5. 24