Question

Sunita is 24 years older than her daughter Kavita. 6 years ago Sunita was thrice as old as Kavita Find their' present ages.

Answer 1

S=sunitha's age

k=kavitha's age

s is 24 older than k

s=24+k

6 years ago (s-6 and k-6), sunitha was thrise as old as kavita

s-6=3(k-6)

subsitute 24+k for s

24+k-6=3(k-6)

k+18=3(k-6)

distribute

k+18=3k-18

minus k both sides

18=2k-18

add 18 both sides

36=2k

divide by 2 both sides

18=k

sub back

s=24+k

s=24+18

s=42

sunitha is 42 years old

kavita is 18 years old