Question

The ages of Nikita and Nancy are in the ratio 5:7. Four years from now the ratio of their ages will be 3:4. Find their present ages. *​

Answer 1

Answer:

nikita age = 20

Nancy age = 28

Step-by-step explanation:

The ratio of nikita's and nancy's present ages is 5:7

So, let their ages be 5x and 7x

After 4 years their ages will be in ratio 3:4

Therefore,(5x+4)/(7x+4)=3/4

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

or, 20x+16=21x+12

or, 16−12=21x−20x

or, 4=1x

or, x=4

Therefore, present age of nikita = 5x=(5×4)=20 years.

Present age of nancy =7x=(7×4)=28 years