Two numbers are in the ratio 3 7 If 6 be added to each of them then they are in the ratio 5 9 Find t...........

Quantitative Aptitude ( CCS) Ratio, Proportion

Two numbers are in the ratio 3 : 7. If 6 be added to each of them, then they are in the ratio 5 : 9. Find the numbers ?

11 & 17

7 & 17

9 & 21

13 & 23

Let the two numbers be x and y

Given x : y = 3 : 7 .....(1)

Now, x+6 : y+6 = 5 : 9 .....(2)

From (1), x = 3y/7

From (2), 5y - 9x = 24

= 5y - 9(3y/7) = 24

= y = 21

= From(1), x = 9

Hence, the two numbers be 9 and 21

Hence, option 3 is the correct answer.

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