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It takes a little bit of work, but let’s prove why this is true!

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You might wonder, are there any other numbers like this, where their cube root is equal to the sum of their digits? Incredibly these are the only 7 such numbers! They are also known as Dudeney numbers.

It takes a little bit of work, but let’s prove why this is true!

posted Jun 1, 2023 by Sidharth Malhotra

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With a little detective work and deep thought, the following facts can make an accurate statement. Can you figure it out?
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Let’s try a little word play. First, an example.
Start with insects, add a letter, end up with a garment.
Answer: ants + p = pants
Now try these.
1. Start with a body part, add a letter, end with an animal.
2. Start with a grain, add a letter, end with transportation.
3. Start with a math term, add a letter, end with food.
4. Start with an establishment in the city, add a letter, end up on a farm.
5. Start with a covering, add 2 letters, end with a sport.
6. Start out being exposed to warmth, add 2 letters, end up with a container.
7. Start out with a fruit, add a letter, end up with a weapon.
8. Start out with a rate, add a letter, end up far out.
9. Start out with a number, add a letter, end up with a sound.
10. Start out as a relative, add 3 letters, end up with a poem.

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