Question

Liam, Noah, Oliver, John, and Max discovered that they have birthdays on the same date but during different months. None of the friends is of the same age.

Can you tell what the age of Max is?

1. Max is older than Oliver.

2. Noah was seven three years ago.

3. John's age is not an odd number.

4. Oliver is 12 of Liam's age.

5. Oliver and Max are two years apart.

6. Ages of all five friends: 7, 9, 10, 12, and 14

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Solution

The correct option is **D** 9

Let's look at the hints.

Noah was seven three years ago, this means:

7 + 3 = 10

Noah's age is 10.

John's age is not an odd number. This means that his age can be 10, 12, or 14. His age cannot be 10 because Noah is 10 years old.

Oliver is 12 of Liam's age. Here, only 7 is the number whose double is also present. Hence, Oliver is 7 years old, and Liam is 14 years old.

Now that two even numbers are taken, Noah is 10, and Liam is 14 years old. We can deduce that John is 12 years old.

Oliver and Max are two years apart.

Oliver is 7 years old.

7 + 2 = 9

Hence, Max is 9 years old.

Let's look at the hints.

Noah was seven three years ago, this means:

7 + 3 = 10

Noah's age is 10.

John's age is not an odd number. This means that his age can be 10, 12, or 14. His age cannot be 10 because Noah is 10 years old.

Oliver is 12 of Liam's age. Here, only 7 is the number whose double is also present. Hence, Oliver is 7 years old, and Liam is 14 years old.

Now that two even numbers are taken, Noah is 10, and Liam is 14 years old. We can deduce that John is 12 years old.

Oliver and Max are two years apart.

Oliver is 7 years old.

7 + 2 = 9

Hence, Max is 9 years old.

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