Question

The age of Sudha and Ruby are in the ratio 5 : 7. four years from now the ratio of their ages will be 3:4. Find their present age​

Answer 1

Answer:

sudha is 20 and ruby is 28.

Step-by-step explanation:

let the current ages be 5x and 7x.

four years from now,

5x + 4 : 7x + 4 = 3 : 4

therefore,

5x + 4/ 7x + 4 = 3/4

4(5x + 4) = 3(7x + 4)

20x + 16 = 21x + 12

x = 4

sudha's age = 5x = 5*4

                     = 20

ruby's age = 7x + 7*4

                 = 28

hope that helped u......

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Answer 2

let the common factor be X
Sudha age=5x
Ruby’ s age=7x

four years later the ages of
Sudha=5x +4
Ruby=7x+4

therefore,
5x +4
______=3/4

7x+4

20x+16=21x+12
therefore x=4

thus Sudha age=5(4)=20years
Ruby age=7(4)=28 years

Hence Sudha is 20 yrs and Ruby is 28