​The HCF of two numbers is 15 and their LCM is 225. If one of the numbers is 45, then what is the other number? ​

Correct option is D

Given:

HCF (Highest Common Factor) of two numbers: 15

LCM (Lowest Common Multiple) of two numbers: 225

One of the numbers: 45

Formula used:

HCF × LCM = Product of the two numbers

Solution:

Let the number be = a and b 

ab = 15 $$\times$$ 225

45b = 15 $$\times$$​ 225

b = $$\frac{15 \times 225}{45}$$ or 75 

​The other number is $$\frac{15 \times 225}{45}$$ 

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