Question

two numbers are in ratio 8:13 if 14 is added to each nunber the ratio becames 2:3 find the number​

Answer 1

Let the two numbers be 8x and 13x . When 14 is added to these numbers the ratio becomes 2 : 3 . The numbers are 56 and 91 .

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Answer 2

two numbers are 56 and 91

Step-by-step explanation:

let the numbers are x and y

given,

x : y =8 : 13

=> x/y =8/13

=> x=8y/13

again,

(x+14) : (y+14)=2 :3

=>(x+14)/(y+14)=2/3

=> 3(x+14)=2(y+14)

=> 3x+42=2y+28

=> 3x=2y+28-42=2y-14

=> x=(2y-14)/3

so,

8y/13= (2y-14)/3

=> 8y.3=13(2y-14)

=> 24y=26y-182

=. > 24y-26y= -182

=> -2y= -182

=> y= -182/-2=91

x=8y/13=8*91/13=8*7=56