Question

The two numbers are in the same ratio 4:5. If 30 is Subtracted from each of the numbers the ratio becomes 1:2. Form the pair of linear equation for the situation and represent them graphically​

Answer 1

Answer:-

• x = 40

• y = 50

Given:-

• two numbers are in the same ratio 4:5

• 30 is Subtracted from each of the numbers the ratio becomes 1:2.

Solution:-

Let given two numbers are ' x ' and ' y  ' , So from first condition we get 

x:y = 4:5 ,

x/y = 4/5

5 x  = 4 y      ------------- ( 1 )

And from second condition we get

(x-30) / (y-30) = 1/2

x − 30y − 30 = 1/2 ,

2 x  - 60 = y -  30 ,

2 x - y =  30    ---------- ( 2 )

• x= 40

• y = 50

May be it's helpful for you

Answer 2

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