Question 71

Two numbers are in the ratio 3 : 5. If 9 is subtracted from each, the numbers so obtained are in the ratio 12 : 23. If 3 is added to the smaller number and 7 is subtracted from the other number, then they will be in the ratio:

Solution

Let the numbers be $$3x$$ and $$5x$$ respectively.

According to ques,

=> $$\frac{3x-9}{5x-9}=\frac{12}{23}$$

=> $$69x-207=60x-108$$

=> $$9x=207-108=99$$

=> $$x=11$$

$$\therefore$$ Numbers are $$33$$ and $$55$$

Thus, final ratio = $$\frac{33+3}{55-7}=\frac{36}{48}=3:4$$

=> Ans - (C)

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