Question 1
Tournament participants: Jackson, Sanjana, Satish, Olivia
Given the following clues:
1. Jackson is younger than Sanjana
2. Sanjana is younger than Satish
3. Satish is younger than Olivia
4. Each person is exactly 3 years older than the person immediately younger than them.
5. Jackson is 15 years old.
Determine Sanjana's age.
Step 1: From clues 1-3, the age order from youngest to oldest is:
Jackson → Sanjana → Satish → Olivia
Step 2: From clue 4, each consecutive person differs by exactly 3 years.
So if youngest = x, then: Jackson=x, Sanjana=x+3, Satish=x+6, Olivia=x+9
Step 3: From clue 5, Jackson (the 1st (youngest)) = 15
Therefore, x + 0 = 15
Solving: x = 15 - 0 = 15
Step 4: All ages are:
• Jackson = 15
• Sanjana = 18
• Satish = 21
• Olivia = 24
Step 5: Sanjana is the 2nd.
Therefore, Sanjana = 18
Jackson → Sanjana → Satish → Olivia
Step 2: From clue 4, each consecutive person differs by exactly 3 years.
So if youngest = x, then: Jackson=x, Sanjana=x+3, Satish=x+6, Olivia=x+9
Step 3: From clue 5, Jackson (the 1st (youngest)) = 15
Therefore, x + 0 = 15
Solving: x = 15 - 0 = 15
Step 4: All ages are:
• Jackson = 15
• Sanjana = 18
• Satish = 21
• Olivia = 24
Step 5: Sanjana is the 2nd.
Therefore, Sanjana = 18