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Answer :
Final answer:
The larger number is 336.
Explanation:
To find the larger of the two numbers, we can use the formula:
Larger number = (H.C.F) x (L.C.M) / Smaller number
In this case, the H.C.F is 84 and the L.C.M is 21. The ratio of the two numbers is 1:4. So the smaller number is 1x and the larger number is 4x.
Using the formula, we can find:
Larger number = (84) x (21) / (1x)
Simplifying this, we get:
Larger number = 1764 / x
Since the larger number is a multiple of 84, the possible options are 84, 168, 252, 336, etc. But the ratio of the two numbers is 1:4, so the larger number must be 4 times the smaller number. Therefore, the larger number is 336.
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