Math  /  Numbers & Operations

Questiona) Find the prime factor decomposition of 225 . Give your answer in index form.
The lowest common multiple (LCM) of two numbers is 225 . The highest common factor (HCF) of the two numbers is 15 . Neither of the numbers are 15 . b) Use your answer to part a) to work out the values of the two numbers.

Studdy Solution
Calculate the LCM and HCF:
- HCF(75,45)=15 \text{HCF}(75, 45) = 15 - LCM(75,45)=225 \text{LCM}(75, 45) = 225
The two numbers are:
75 and 45\boxed{75 \text{ and } 45}

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