Question

two numbers in the ratio 7:11 . if 7 is added to each of the numbers the ratio becomes 2:3.find the numbers ​

Answer 1

$<b><u>ANSWER:$

Let x and y are two numbers

x:y=7:11

x/y=7/11

11x=7y

x=7y/11............(1)

(x+7):(y+7)=2:3

(x+7)/(y+7)=2/3

3(x+7)=2(y+7)

3x+21=2y+14

3x=2y+14-21

3x=2y-7............(2)

Put the value of x in (2) from (1)

3(7y/11)=2y-7

21y/11=2y-7

21y=11*(2y-7)

21y=22y-77

21y-22y=-77

-y=-77

y=77

Put the value of y in (1)

x=7y/11............(1)

x=7(77)/11

x=7*7

x=49

Numbers are 49 and 77.

Answer 2

Answer:

Step-by-step explanation:

let numbers be 7x and 11x

ATQ

7x+7/11x+7= 2/3

21x+21=22x+14

22x-21x=21-14

x=7

numbers,7x=7*7

=49

and,11x=11*7=77 ans

thus no are 49 and 77