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Australian AMC 2021 - Middle Primary Question 17

AMC AUSTRALIA · Australian AMC 2021 - Middle Primary

Question 17

Each letter in this grid stands for a number from 1 to 6. The numbers outside the grid are the sums of the values of all the letters in each row or column. For example, in the first column, the values of M, L, L and R add to 16. What is the value of the letter L?

Question illustration

| | Column 1 | Column 2 | Column 3 | Column 4 | Row sum |
|---|---|---|---|---|---|
| Row 1 | M | M | F | F | 16 |
| Row 2 | L | H | U | H | 10 |
| Row 3 | L | F | U | H | 11 |
| Row 4 | R | R | R | H | 13 |
| Column sum | 16 | 13 | 16 | 5 | |
  1. 1
  2. 2
  3. 3
  4. 5
  5. 6