Two numbers are in the ratio 2 3 If 2 is subtracted from both the numbers the ratio becomes 5 8 Find...........

Quantitative Aptitude (RRB NTPC) Ratio, Proportion

Two numbers are in the ratio 2 : 3. If 2 is subtracted from both the numbers the ratio becomes 5 : 8. Find the numbers.

16 and 24

35 and 56

72 and 108

20 and 48

Let the number be x and y.

x/y= 2/3

3x=2y or 3x-2y=0

When 2 is subtracted from both the

numbers, ratio becomes 5:8

(x-2)/(y-2)=5/8

8x-5y=26

From equation 3x-2y=0 and 8x-5y=26,

we gets x=72 and y=108

So given numbers will be 72 and 108.

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