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Three numbers are in in the ratio of 3 : 4 : 6 and their product is 1944. The largest of these numbers is :
Answer & Solution
Correct Answer:
Option
C
Let the numbers be 3x, 4x and 6x
Then,
$$\eqalign{ & \Leftrightarrow 3x \times 4x \times 6x = 1944 \cr & \Leftrightarrow 72{x^3} = 1944 \cr & \Leftrightarrow {x^3} = 27 \cr & \Leftrightarrow x = 3 \cr} $$
∴ Largest number = 6x = 18
Then,
$$\eqalign{ & \Leftrightarrow 3x \times 4x \times 6x = 1944 \cr & \Leftrightarrow 72{x^3} = 1944 \cr & \Leftrightarrow {x^3} = 27 \cr & \Leftrightarrow x = 3 \cr} $$
∴ Largest number = 6x = 18
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