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

Asked by Topperlearning User | 20th Sep, 2016, 11:01: AM

Expert Answer:

begin mathsize 12px style Let space the space present space age space of space Kavita equals space straight x space years
then space age space of space Sunita space equals space left parenthesis straight x plus 24 right parenthesis space years
6 space years space ago comma space age space of space Kavita space equals space left parenthesis straight x minus 6 right parenthesis space years
and space age space of space Sunita equals space straight x plus 24 space minus space 6 equals left parenthesis straight x plus 18 right parenthesis space years
Now space according space to space the space condition comma
left parenthesis straight x plus 18 right parenthesis equals 3 left parenthesis straight x minus 6 right parenthesis
rightwards double arrow straight x plus space 18 space equals space 3 straight x space minus space 18
rightwards double arrow negative 2 straight x space equals space minus 36
rightwards double arrow straight x space equals space 18
Age space of space Kavita space equals space 18 space years
and space age space of space Sunita space equals space 18 space plus space 24 space equals space 42 space years end style

Answered by  | 20th Sep, 2016, 01:01: PM