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If Joanne is J years old, then Amy is (J-3) years old.
Further, the condition says
3J = 15 + 2*(J-3)
3J = 15 + 2J - 6
J = 9.
ANSWER. Joanne is 9 years old; Amy is 9-3 = 6 years old.
CHECK. 3J = 3*9 = 27; 15 + 2*6 = 15 + 12 = 27. ! Correct !