Two numbers are in ratio of 21 26 If 8 is added in each the new numbers are in ratio of 5 6 Find the...........

Quant (SSC) Ratio, Proportion

Two numbers are in ratio of 21 : 26. If 8 is added in each, the new numbers are in ratio of 5 : 6. Find the ratio of numbers, if 6 is subtracted from each number?

18 : 23

19 : 25

6 : 7

9 : 16

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Explanation:

Let the numbers be 21x and 26x.
(21x + 8) /26x + 8 = 5/6
6(21x + 8) = 5(26x + 8)
126x + 48 = 130x + 40
x = 2
So, numbers will be 42 and 52.
If 6 is subtracted, then numbers will be 36 and 46.
Required ratio = 36 : 46. i.e. 18 : 23