Question

two numbers are in the ratio 5:6 .if 8 is substracted from each of the numbers ,the ratio becomes 4:5 .find the number

Answer 1

Let the numbers are 5x and 6x ,


When 8 is subtracted from both,ration becomes 4 : 5





$\frac{5x - 8 }{6x - 8} = \frac{4}{5}$

5(5x - 8) = 4(6x - 8)

25x - 40 = 24x - 32 

25x - 24x= -32 + 40 

x            = 8 





Fraction is $\frac{5x}{6x} = \frac{5(8)}{6(8)} = \frac{40}{48}$





i hope this will help you


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Answer 2

Let the number be 5x and 6x , then as per as the question
5x-8=4x  
=>x=8

6x-8=5x
=>x=8
Therefore the numbers are
5x=5(8)=40
6x=6(8)=48