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Reggie is one third as old as her mother. Five years ago, she was only one fifth of the age of her mother. How old are they now?

Sagot :

5 years ago*
reg= 5 y.o
mother= 25 y.o
1/5 of 25 is 5

*now
reg= 10 y.o
mother= 30 y.o
1/3 of 30 is 10.
reggie=1/3(m)
mother=m

1/3(m)-5=1/5(m)
-5=-2/15(m)
Multiply both sides by -15
75=2m
m=75/2 or 37.5

Her mother is 37 years old and 6 months Reggie is 12 years old and 6 months