Question 52

Two numbers A and arein the ratio 5 : 2, If 4 is added to each number then this ratio becomes 9 : 4. If 5 is subtracted from each ofthe original numbers,then the ratio of A and B will be:

Solution

Let numbers be 5x and 2x 
Now when 4 is added to each number , the ratio becomes 9:4
so we get 5x+4:2x+4 =9:4
cross multiplying we get
20x+16=18x+36
we get x=10
so numbers are 50 and 20
Now when 5 is subtracted from the numebers
The numbers will become :45 ,15
and we get ratio as 3:1


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