SOLUTION: three years ago, Rica was thrice as old as Dandy. Three years hence, she will be twice as old. find their present ages.

Algebra.Com
Question 636506: three years ago, Rica was thrice as old as Dandy. Three years hence, she will be twice as old. find their present ages.
Answer by sachi(548)   (Show Source): You can put this solution on YOUR website!
three years ago, Rica was thrice as old as Dandy. Three years hence, she will be twice as old. find their present ages.
ans:-
let Dandy is x yrs now ,so 3 yrs ago he was x-3 yrs
so rica was 3(x-3)yrs then
3yrs hence dandy will be x+3 & rica will be 3(x-3)+6
as per question 3(x-3)+6=2(x+3)
or 3x-9+6=2x+6
or x=9= dandy;s age now
& rica is 3(9-3)+3=21 yrs ans
otherwise
let dandy is x yrs & rics is y yrs now
three years ago y-3=3(x-3)
or 3x-y=6----------1
Three years hence y+3=2(x+3)
or 2x-y=-3 --------2
subtracting (2) from(1)
x=9
from (1) y=21 ans

RELATED QUESTIONS

Three years ago, Rica was thrice as old as Dandy. Three years hence, she will be twice as (answered by josgarithmetic)
Three years ago, Rica was thrice as old as Dandy. Three years hence, she will be twice as (answered by josgarithmetic)
Three years ago, Rica was thrice old as Dandy. Three years hence, she will be twice as... (answered by Paul)
three years ago,Rica was thrice as old as Dandy. three years hence, she will be twice as... (answered by swincher4391)
3 years ago, Rica was thrice as old as Dandy. 3 years hence, she will be twice as old.... (answered by mananth)
Can you please help me solve this problem: Three years ago, Rica was thrice as old as... (answered by stanbon)
Solving problems involving systems of linear equations in two variables: three years... (answered by Fombitz)
Three years ago, Rica was thrice as old as Danda. Three years hence, she will be twice as (answered by richwmiller)
Three years ago.Rica was thrice as old as dandy.three years ago hence,she will be twice... (answered by Theo)