Each boy appears in exactly two of the three pairs. So adding all three pair-totals counts every boy twice.
[[model:questions/solutions/q4179.png]]
• Add all pairs → 25 + 18 + 17 = 60
• This counts each boy twice → 2 × total = 60
• Total → 60 ÷ 2 = 30
The three boys have 30 cards in total.
Check: Paul 12, Simon 13, Gray 5 → 12+13=25, 13+5=18, 12+5=17; total 30. ✓