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We are given:

• HCF = 12

• LCM = 336

• One number = 84

• We are to find the other number.

🧠 Concept:

We use the fundamental relation between two numbers, their HCF and LCM:

$$\text{HCF}\times \text{LCM}=\text{Product of the two numbers}$$

🔢 Step-by-step Calculation:

Let the other number be x.

We are given:

$$12\times 336=84\times x$$ $$4032=84\times x$$

Now solve for x:

x=403284=48x = \frac{4032}{84} = 48x=844032​=48

✅ Final Answer:
The other number is 48.

🧪 Check (optional):

• HCF of 84 and 48 = 12

• LCM of 84 and 48 = (84 × 48) / 12 = 4032 / 12 = 336 ✅
  Hence, correct!

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