Question

Two numberss are in the ratio 7:11.If 7 8s added to each of the numbers the ratio becoles 2:3 find the number​

Answer 1

Step-by-step explanation:

Let x and y are two numbers

According to the question

y

x

=

11

7

x=

11

7y

.......(i)

Now,

y+7

x+7

=

3

2

3x+21=2y+14

3x=2y−7......(ii)

Substitute value of x from (i) to (ii)

3(

11

7y

)=2y−7

21y=22y−77

y=77

x=

11

7y

x=

11

7×77

x=7×7

x=49

Therefore the numbers are 49 and 77