Question

Sarita is 14 yrs younger than her cousin . After 5 yr ,their age will be in the ratio 2:3 . Find their present age solution

Answer 1

Let the present age of sarita's cousin be x years,


According to the question, present age of Sarita is 14 years younger than her cousin. So present age of Sarita should be ( x - 14 ) years.




Given in the question that after 5 years, age of Sarita and her cousin will be in ratio of 2 : 3




Age of sarita's cousin at that time = present age + 5 years = ( x + 5 ) years

Age of Sarita at that time = present age + 5 years = ( x - 14 + 5 ) Years = ( x - 9 ) years




Ratio of ages = 2 : 3


( x - 9 ) : ( x + 5 ) = 2 : 3


3( x - 9 ) = 2( x + 5 )


3x - 27 = 2x + 10


3x - 2x = 10 + 27


x = 37



Therefore present age of Sarita's cousin = x years = 37 years

And present age of Sarita = ( x - 14 ) years = ( 37 - 14 ) years = 23 years $\:$