Question 1
Tournament participants: Riley, Ines, Vaishali, Neeraj
Given the following clues:
1. Riley is younger than Ines
2. Ines is younger than Vaishali
3. Vaishali is younger than Neeraj
4. Each person is exactly 5 years older than the person immediately younger than them.
5. Riley is 16 years old.
Determine Ines's age.
Step 1: From clues 1-3, the age order from youngest to oldest is:
Riley → Ines → Vaishali → Neeraj
Step 2: From clue 4, each consecutive person differs by exactly 5 years.
So if youngest = x, then: Riley=x, Ines=x+5, Vaishali=x+10, Neeraj=x+15
Step 3: From clue 5, Riley (the 1st (youngest)) = 16
Therefore, x + 0 = 16
Solving: x = 16 - 0 = 16
Step 4: All ages are:
• Riley = 16
• Ines = 21
• Vaishali = 26
• Neeraj = 31
Step 5: Ines is the 2nd.
Therefore, Ines = 21
Riley → Ines → Vaishali → Neeraj
Step 2: From clue 4, each consecutive person differs by exactly 5 years.
So if youngest = x, then: Riley=x, Ines=x+5, Vaishali=x+10, Neeraj=x+15
Step 3: From clue 5, Riley (the 1st (youngest)) = 16
Therefore, x + 0 = 16
Solving: x = 16 - 0 = 16
Step 4: All ages are:
• Riley = 16
• Ines = 21
• Vaishali = 26
• Neeraj = 31
Step 5: Ines is the 2nd.
Therefore, Ines = 21