Question

two numbers are in ratio 5:8 if 4 is subtracted from ratio the new ratio is 1:2 . find the smaller ratio

Answer 1

ANSWER

Let the two numbers be x and y.

As per condition 1, i.e., Two numbers are in the ratio 5:6.

The equation becomes,

y

x

​  

=  

6

5

​  

 

∴6x−5y=0      ..........(1)

As per condition 2, If 8 is subtracted from each of the numbers the ratio is 4:5.

The equation becomes,

y−8

x−8

​  

=  

5

4

​  

 

∴5x−4y=8     ...........(2)

Equation (1) can be written as x=  

6

5y

​  

 

Substituting x=  

6

5y

​  

 in (2) we get,

y=48

Re substituting y=48 in (1) we get,

x=40

Hence Numbers are 40,48.

Answer 2

Answer:

the correct answer is

the numbers are 10and 16.

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