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If the LCM of two numbers is 192 and their HCF is 32. If the first number is 64, find the second number.
Question

If the LCM of two numbers is 192 and their HCF is 32. If the first number is 64, find the second number.

A.

96

B.

94

C.

93

D.

95

Correct option is A

Given
LCM = 192
HCF = 32
First number = 64
Formula Used
First number × Second number = LCM × HCF
Solution
Let the second number be x.
64 × x = 192 × 32
x = 192×3264 \frac{192 × 32}{64}​​
x = 192 × 12\frac{1}{2}​​
x = 96

Final Answer
So the correct answer is (a)

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