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The sum of natural numbers is 240 and they are in the ration, 3:5. Find the numbers.

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150

170

answer is A.

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Detailed Solution

Concept- Here the question is given a ratio of two numbers. Therefore, the greatest common divisor is discarded because the ratio is always known to be the simplest form. Suppose the common number is x. That is, the numbers are 3x and 5x.
Since,

x + y = 240 . . . . . . . (i)

\frac{x}{y} = \frac{3}{5} . . . . . . . (ii)

On solving equation (1) and (2), we get

x = 90, y = 150

Hecne, option 1 is correct.

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