What is the sum of their present ages?

Algebra Level pending


The answer is 50.

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1 solution

Let x x and y y be the present ages of the man and woman, respectively.

\((x+23)+(y+23)=3[(x-9)+(y-9))

\(x+23+y+23=3(x-9+y-9)\)

x + y + 46 = 3 ( x + y 18 x+y+46=3(x+y-18

x + y + 46 = 3 x + 3 y 54 x+y+46=3x+3y-54

2 x + 2 y = 100 2x+2y=100

x + y = x+y= 50 \boxed{50}

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