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Which three balls should you put in the hole to total 30?

A math puzzle image showing balls with numbers 1, 4, 5, 7, 9, 11, 13, and 15, asking which three add up to 30.

A math puzzle image showing balls with numbers 1, 4, 5, 7, 9, 11, 13, and 15, asking which three add up to 30.

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Show Answer Key & Explanations Step-by-step solution for: Brain Teaser Puzzles for Students & Adults - SmartBrainPuzzles
Let’s solve this step by step.

We need to pick three balls from the given numbers so that when we add them together, the total is 30.

The available numbers are:
1, 4, 5, 7, 9, 11, 13, 15

All of these numbers are odd, except for 4 (which is even).

Now, think about adding three odd numbers:
- Odd + Odd = Even
- Even + Odd = Odd

So, if you add three odd numbers, the result will always be odd.

But 30 is an even number.

That means — we cannot get 30 by adding three odd numbers.

So… we must include the only even number available: 4

That leaves us needing two more numbers that add up to 26 (because 30 - 4 = 26), and those two numbers must be chosen from the remaining odd numbers: 1, 5, 7, 9, 11, 13, 15

Let’s try pairs that add to 26:

- 11 + 15 = 26 → YES!
- 13 + 13 = 26 → but we only have one 13
- 9 + 17 → no 17
- 7 + 19 → no 19
- 5 + 21 → no 21
- 1 + 25 → no 25

Only valid pair: 11 and 15

So, the three numbers are: 4, 11, and 15

Check: 4 + 11 + 15 = 30

Final Answer:
4, 11, 15
Parent Tip: Review the logic above to help your child master the concept of solutions to brain teasers.
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