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Algebra Level pending

36 54 27 18

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1 solution

Let h h and w w be the present ages of Mr. Jorkins and Mrs. Jorkins, respectively. Then

h 18 = 3 ( w 18 ) h-18=3(w-18) ( 1 ) \color{#D61F06}(1)

h = 2 w h=2w ( 2 ) \color{#D61F06}(2)

Substitutute ( 2 ) \color{#D61F06}(2) in ( 1 ) \color{#D61F06}(1) .

2 w 18 = 3 ( w 18 ) 2w-18=3(w-18)

2 w 18 = 3 w 54 2w-18=3w-54

w = 36 w=36

The age of Mrs. Jorkins eighteen years ago was

w 18 = 36 18 = w-18=36-18= 18 \boxed{18}

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