# Problem of the Week Problem B and Solution This Puzzle Has Got Your Number!

## Problem

Below is a 10 by 10 puzzle grid with white squares and black squares (marked with a B). Use the clues below the grid to complete the puzzle. The answer to each clue is a whole number and the number of digits in each answer is given after the clue. To put an answer in the grid, place one digit in each white square corresponding to that clue.

### Puzzle Grid

 1 2 B B B B B B B B B B 3 4 B B B B B B B B B 5 6 B 7 8 B B B B B B B B B B 9 B B 10 11 B B 12 B B B B B B B B 13 14 B B B B B B B B 15 16 B B B B B B B B B B

### Across Clues

• 1. $$1 \text{ hundred} + 2 \text{ tens}+3 \text{ ones}$$ (three digits)
• 3. $$30\,000+2000+300+60+7$$ (five digits)
• 5. $$3444+3345$$ (four digits)
• 7. $$114\times 3$$ (three digits)
• 9. $$2\times2\times2\times3\times3$$ (two digits)
• 10. $$369-234$$ (three digits)
• 12. $$4^3$$ or $$4\times4\times4$$ (two digits)
• 13. $$3\times2\times2\times2\times2\times 19$$ (three digits)
• 15. $$3841\times 2$$ (four digits)

### Down Clues

• 1. $$1 \text{ ten}+7 \text{ ones}$$ (two digits)
• 2. $$10\,000-6544$$ (four digits)
• 3. $$999-630$$ (three digits)
• 4. $$1000-356$$ (three digits)
• 6. $$421\times 2$$ (three digits)
• 7. $$3\times107$$ (three digits)
• 8. $$15^{2}$$ or $$15\times15$$ (three digits)
• 9. $$7\times107$$ (three digits)
• 11. $$1500+1600+90+2$$ (four digits)
• 14. $$3^3$$ or $$3\times3\times3$$ (two digits)
• 16. $$3^4$$ or $$3\times3\times3\times3$$ (two digits)

## Solution

The completed grid is shown, as well as the answer to each clue.

 1 2 3 B B B B B B B 7 B 4 B B 3 2 3 6 7 B B 5 B B 6 B B 4 B B B 6 7 8 9 B 3 4 2 B B B B 4 B B 2 B 2 B B B 7 2 B B 1 3 5 B B 6 4 B B B B 1 B B B B 9 1 2 B B 9 B B B B B B 7 6 8 2 B B B B B B B B 1 B B

• 1. $$1$$ hundred $$+\,2$$ tens $$+\,3$$ ones $$=123$$
• 3. $$30\,000+2000+300+60+7=32\,367$$
• 5. $$3444+3345=6789$$
• 7. $$114\times 3=342$$
• 9. $$2\times2\times2\times3\times3=72$$
• 10. $$369-234=135$$
• 12. $$4^3$$ or $$4\times4\times4=64$$
• 13. $$3\times2\times2\times2\times2\times 19=912$$
• 15. $$3841\times 2=7682$$

• 1. $$1$$ ten $$+\,7$$ ones $$=17$$
• 2. $$10\,000-6544=3456$$
• 3. $$999-630=369$$
• 4. $$1000-356=644$$
• 6. $$421\times 2=842$$
• 7. $$3\times107=321$$
• 8. $$15^2$$ or $$15\times15=225$$
• 9. $$7\times107=749$$
• 11. $$1500+1600+90+2=3192$$
• 14. $$3^3$$ or $$3\times3\times3=27$$
• 16. $$3^4$$ or $$3\times3\times3\times3=81$$