
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:
HCF×LCM=Product of the two numbers\text{HCF} × \text{LCM} = \text{Product of the two numbers}
🔢 Step-by-step Calculation:
Let the other number be x.
We are given:
12×336=84×x12 × 336 = 84 × x 4032=84×x4032 = 84 × x
Now solve for x:
x=403284=48x = \frac{4032}{84} = 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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