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Answer :
Final answer:
To find the larger of two numbers with a given H.C.F and L.C.M and a ratio of 1:4, we solve for x in the equation x * 4x = H.C.F * L.C.M, resulting in the larger number being 84. Therefore, the correct answer is option C.
Explanation:
The question pertains to finding the larger of two numbers given their highest common factor (), which is 84, their least common multiple (), which is 21, and their ratio, which is 1:4. To find the two numbers, let's denote the smaller number by x. Then, the larger number is 4x. The product of two numbers is equal to the product of their and their . Using this, we have x * 4x = 84 * 21. Solving for x, we get x = 21 and hence the larger number, 4x = 84.
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