Let's solve each of the four riddles step by step. These are logic puzzles involving three-digit numbers and clues about their digits.
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Riddle 1:
> My tens digit is one more than my hundreds digit.
> My hundreds digit is an even number between 5 and 7.
> My ones digit is the number of vertices on a triangle.
> What am I?
#### Step-by-step:
- Hundreds digit: "an even number between 5 and 7" → The only even number in that range is
6.
- Tens digit: "one more than my hundreds digit" → 6 + 1 =
7
- Ones digit: "the number of vertices on a triangle" → A triangle has
3 vertices.
- So, the number is:
673
✔ Answer: 673
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Riddle 2:
> I'm an even number between 100 and 200.
> The sum of my digits is 14.
> My tens digit is two less than nine.
> What am I?
#### Step-by-step:
- Even number between 100 and 200 → so it’s a three-digit number starting with
1, and ends in an even digit (0, 2, 4, 6, 8).
- Tens digit: "two less than nine" → 9 - 2 =
7
- So far: 1 _ 7 _ → Number is
17x, where x is even.
- Sum of digits is 14 → 1 + 7 + x = 14 → x = 6
- So the number is
176
- Is it even? Yes (ends in 6). Between 100 and 200? Yes.
✔ Answer: 176
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Riddle 3:
> The sum of my three digits is 6.
> My hundreds digit is 2.
> The sum of my hundreds and tens digits is equal to my ones digit.
> What am I?
#### Step-by-step:
- Hundreds digit =
2
- Let tens digit = T, ones digit = O
- Sum of digits: 2 + T + O = 6 → T + O = 4
- Also: "Sum of hundreds and tens digits equals ones digit" → 2 + T = O
- Now substitute:
- From T + O = 4
- And O = 2 + T
- Plug into first equation: T + (2 + T) = 4 → 2T + 2 = 4 → 2T = 2 → T = 1
- Then O = 2 + 1 = 3
- So digits: 2 (hundreds), 1 (tens), 3 (ones) →
213
- Check: 2+1+3=6
✔, 2+1=3 → equals ones digit
✔
✔ Answer: 213
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Riddle 4:
> I'm an even number.
> I'm >758 and <893.
> I'm a multiple of 100.
> What am I?
#### Step-by-step:
- Multiple of 100 between 758 and 893 → possible multiples of 100: 800
- 700 is too small (<758)
- 800 is within range (758 < 800 < 893)
- 900 is too big (>893)
- Is 800 even? Yes.
- So the number is
800
✔ Answer: 800
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✔ Final Answers:
1.
673
2.
176
3.
213
4.
800
Let me know if you'd like these explained in a visual or printable format!
Parent Tip: Review the logic above to help your child master the concept of place value riddle worksheet.