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Catholic High 2025 P6 Maths Prelim — Paper 1 Booklet A Q12 Solution
Question
Alex and Ben had \$190 altogether at first. After Alex gave Ben \$30, Alex had \$40 more than Ben. How much did Ben have at first?
- 1. $45
- 2. $75
- 3. $120
- 4. $160
Answer: 1
Worked solution
- \text{Let Ben have } \$b\text{
- Alex had } \$(190 - b)
- \text{After Alex gives Ben } \$30: \text{Alex} = 160 - b,\ \text{Ben} = b + 30
- \text{Alex has } \$40 \text{ more}: (160 - b) - (b + 30) = 40
- 130 - 2b = 40
- 2b = 90
- b = 45
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