Completing two-way tables
The question
| Sold | Left | Total | |
|---|---|---|---|
| Small | 14 | 20 | |
| Large | 8 | 23 | 31 |
| Total | 22 | 29 | 51 |
The Small and Left number is missing
The Small and Left number is missing
How it works.
SoldLeftTotalSmall14?20Large82331Total222951
20−14=6
29−23=6
SoldLeftTotalSmall14620Large82331Total222951
- 01
Every number in a two-way table belongs to a row and a column. The gap is in the Small row and the Left column, so either can find it.
- 02
Along the row first. The Small row adds up to 20, and the other number in it is 14. So the gap is 20 − 14 = 6.
- 03
Down the column as a check. The Left column adds up to 29, and the other number in it is 23: 29 − 23 = 6. The same 6.
- 04
So the missing number is 6 — the Small row totals 20, and 20 − 14 = 6.