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To consume 30 apples within 7 days without using odd numbers, you can eat 4 apples each day for the first 6 days, totaling 24 apples. Then on the 7th day, you can eat 6 apples to reach a total of 30 apples consumed. This way, you are consuming an even number of apples each day without any odd numbers involved.
The question does not say we must eat at least one apple every day, so we could simply say 30 apples on any one day, or perhaps 10 apples on each of three days, etc. But that's boring, so let's see how we can add 7 even numbers and get 30.
- Eating two apples a day gives us 14 apples, which is not enough.
- Eating four apples a day gives us 28 apples, which is almost enough.
- Eating six apples a day gives us 42 apples, which is too many.
- We can try combining these numbers somehow. Note that 6 + 4 = 10. 4 apples on three days and 6 apples on 3 days gives us 30, but we have a day left over.
- 6 apples on two days and 4 apples on two days gives us 20 apples and three days to get 10. 2 and 2 make 4, so on the remaining three days, eat two apples, two apples, and six apples.
In short, 6 + 4 + 6 + 4 + 6 + 2 + 2 = 30. These can, of course, be in any order, but three days will be 6-apple days (18), two will be 4-apple days (8), and two will be 2-apple days (4). You can add those up, too; 18 + 8 + 4 = 30.
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