Question 967951
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A single equation cannot be written that is solvable for three variables.
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H=Hanna's age; S=Sarah's age=H+5; J=Jim's age=2H
H+S+J=74 years Substitute for S and J.
H+(H+5)+2H=74 years
4H+5=74 years Subtract 5 years from each side.
4H=69 years Divide each side by 4
H=17.25 years ANSWER 1: Hannah is 17.25 years old.
S=H+5yrs=17.25 years+5 years=22.25 years ANSWER 2: Sarah is 22.25 years old.
J=2H=2(17.25 years)=34.5 years ANSWER 3: Jim is 34.5 years old.
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CHECK:
H+S+J=74 years
17.25 years+22.25 years+34.5years=74 years
74 years=74 years