Foundation June 2017 Paper 3 Q19
19 Two numbers have these properties.
- Both numbers are greater than 6.
- Their highest common factor (HCF) is 6.
- Their lowest common multiple (LCM) is 60.
Find the two numbers. [3]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 12 and 30 | 3 | M2 for a complete factor list of 60 e.g. [1] 2,3,4,5,6,10,12,15,20,30 [60] or M1 for the list with at most two errors or [6] 12, 18, 24, 30 [36, ...] or B1 for 2 numbers with a HCF of 6 or LCM of 60 | May be seen as products eg \(2 \times 30\) Error, omission or repeat Eg 6 and 12, 12 and 18, 18 and 24 Eg 4 and 15, 10 and 12, 20 and 30 |