Question

Two numbers are in the ratio 3:5.If 5 is subtracted from each of the number then the ratio becomes 1:2.Find the numbers.
according to linear equations in two variables.​

Answer 1

Step-by-step explanation:

Let the two numbers be x and y.

According to the question,

y

x

=

5

3

⇒y=

3

5x

…(i)

Also,

y−5

x−5

=

2

1

⇒2(x−5)=(y−5)

⇒2x−10=y−5

⇒2x−y=5…(ii)

On putting the value of y=

3

5x

in Eq. (ii), we get

2x−(

3

5x

)=5

⇒

3

6x−5x

=5

⇒x=15

On putting the value of x=15 in Eq. (i), we get

y=

3

5×15

=25

Hence, the two numbers are 15 and 25 .

Answer 2

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