Question

Five years ago, Anushka was thrice as old as Ankita. After 10 years, Anushka will be
twice as old as Ankita. How old are they now? ​

Answer 1

Answer:

Let the age of anushka be x

and the age of ankita be y

Five years ago,

Age of anushka= x-5

Age of ankita=y-5

(x-5)=3(y-5)

x-5=3y-15

x-3y= -10

After 10 years,

Age of anushka= x+10

Age of ankita= y+10

2(x+10)=(y+10)

2x+20=y+10

2x-y= -10

By substitution method,

x-3y= -10

x= -10+3y

2x-y= -10

2(-10+3y)-y= -10

-20+6y-y= -10

-20+5y= -10

5y= 10

y=10

x= -10+3(10)

x= -10+30

x = 20

Age of anushka is 20 years

Age of ankita is 10 years