The sum of three numbers is 212. If the ratio of the first to the second is 13:16 and that of the second to the third is 2:3, then find the numbers.

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52,64,96

50,30,20

55,28,49

62,73,98

answer is A.

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Detailed Solution

Concept- First, let's assume any three numbers, like x, y, and z. Next, we are informed that

. The values of x and z will then be calculated using the ratios in terms of y, and the results will be substituted into the sum of the three integers. From there, we will be able to determine the value of y, which we can then use to solve for x and z.
Let the numbers be a,b and c,
then Question Image

and

(given)

Substituting in (1)

Hence, the correct answer is option 1) 52,64,96

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