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Tao Nan 2025 P6 Maths Prelim — Paper 1 Booklet A Q12 Solution

Paper 1 Booklet A · Q12 · 2 marks · Algebra

Question

Ali had $y$ marbles. Bala had 5 more marbles than Ali. Charles had 3 times as many marbles as Ali. They had 45 marbles altogether. How many more marbles did Charles have than Bala?
Answer: 3

Worked solution

  1. \text{Ali} = y, \text{Bala} = y + 5, \text{Charles} = 3y
  2. y + (y+5) + 3y = 45
  3. 5y + 5 = 45
  4. y = 8
  5. \text{Charles} - \text{Bala} = 3(8) - (8+5) = 24 - 13 = 11

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