The total of three sisters' ages is 39. Dina is is half as old as Michelle and 3 years younger than Juliette. How old are the sisters?

1 Answer
Nov 4, 2016

Dina #=9# years old
Michelle #= 18# years old
Juliette #=12# years old

Explanation:

Let Michelle's age be#2x#
Given Dina is half as old as Michelle, #=># Dina's age #=x#
Given Dina is #3# years younger than Juliette,
#=># Juliette'a age #=x+3#
Given the sum of the three sisters' age is #39#,
#=> 2x+x+x+3=39#
#=> 4x+3=39#
#=> 4x=39-3=36#
#x=36/4=9#

Hence, Dina's age #=x=9#
Michelle's age #=2x=2*9=18#
Juliette's age #=x+3=9+3=12#

Check :

#9+18+12=39#, OK