SOLUTION: Annilee's present age is two-thirds of Jessie's present age. In 16 years the sum of their ages will be 102 years. Find their present ages.

Question 944961: Annilee's present age is two-thirds of Jessie's present age. In 16 years the sum of their ages will be 102 years. Find their present ages.
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
Jessie's age=J;Annilee's age=A=(2/3)J
In 16 years the sum of their ages will be 102, so today the sum is 102-32=70 years
J+A=70 Substitute for A
J+(2/3)J=70 years
(5/3)J=70 years Multiply each side by 3/5
J=(3/5)(70 years)
J=210/5=42 years ANSWER 1: Jessie is 42 years old
A=2/3(42 years)=28 years ANSWER 2: Annilee is 28 years old
CHECK
In 16 years, the sum of their ages will be 102 years
J+16+A+16=102
42+16+28+16=102
102=102
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