SOLUTION: Five years ago Nicole was three times as old as Rianne. Five years hence, Nicole will be twice as old as Rianne. Find their present ages.

Question 1122872: Five years ago Nicole was three times as old as Rianne. Five years hence, Nicole will be twice as old as Rianne. Find their present ages.
Answer by ikleyn(52884) (Show Source): You can put this solution on YOUR website!
.

From the condition, you have these two equations


N - 5 = 3*(R-5)        (1)    ("Five years ago Nicole was three times as old as Rianne.")
N + 5 = 2*(R+5)        (2)    ("Five years hence . . . " )


N - 5 = 3R - 15        (3)
N + 5 = 2R + 10        (4)


Subtract eq(3) from eq(4). You will get


10 = -R + 10 - (-15)

10 = -R + 25

10 - 25 = -R  ====>  R = 15.


Answer.  R is 15 years old.  N is (from eq(4) )   N = 2R + 10-5 = 2*15+10-5 = 35 years old.

Solved.

RELATED QUESTIONS
Five years ago, Ked was three time as old as Doy. Five years hence, Ked will be twice as... (answered by Fombitz)

five years ago chloe was twice as old as danny. seven years hence, three times chloe's... (answered by Maths68)

Five years ago, a man was seven times as old as his son. Five years hence, father will be (answered by longjonsilver)

Five years ago a man was seven times as old as his son. Five years hence, the father will (answered by josmiceli)

five years ago a man was seven times as old as his son. five years hence, the father will (answered by ankor@dixie-net.com)

five years ago a man was seven times as old as his son. five years hence, the father will (answered by lwsshak3)

Five years ago, a father was seven times as old as his son. Five years hence, the father... (answered by fractalier)

five years ago a man was seven times as as old as his son.five years hence, the father... (answered by jorel555)

Two years ago, Dilip age was three times as old as his son and two years hence, twice his (answered by Cromlix)