Answer: See the table below (attached image)
- Row 1: 2, 3, 5
- Row 2: 6, 9, 15
- Row 3: 8, 12, 20
- Row 4: 12, 18, 30
- Row 5: 14, 21, 35
- Row 6: 16, 24, 40
- Row 7: 20, 30, 50
- Row 8: 28, 42, 70
Values in bold are the missing numbers to put into the boxes in the order shown.
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Explanation:
Each row is generated by using the original row 1. We can multiply every value in row 1 by the same positive whole number.
To get row 2, we multiply everything in row 1 by the value 3
- We have 2 cups of red paint turn into 2*3 = 6 cups
- Then we have 3 cups of yellow turn into 3*3 = 9 cups
- Finally, 5 cups total turn into 5*3 = 15
So that explains why 9 and 15 go in the missing boxes for row 2. Note how 6+9 = 15. The first two columns always add to the third column value.
The other rows are generated in a similar fashion.
So we have...
- For row 3, we multiply every value in row 1 by the number 4
- For row 4, we multiply every value in row 1 by the number 6
- For row 5, we multiply every value in row 1 by the number 7
- For row 6, we multiply every value in row 1 by the number 8
- For row 7, we multiply every value in row 1 by the number 10
- For row 8, we multiply every value in row 1 by the number 14
If you're not sure what to multiply by, pick a value that's already given in the row in question, and divide it over its corresponding counterpart in row 1.
For instance, let's say we have no idea what to multiply by for row 8. We're given that 42 is in the middle of this row. Divide this over the corresponding middle value in row 1 to get 42/3 = 14. So 14 is our multiplier here. The same idea applies to any other row.
See the table below for the filled in values.
