# SOLUTION: Kayla would be one-half as old as Nathan if Kayla were 4 years older. Nathan is eight less than three times as old as Kayla. How old are they?

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 Click here to see ALL problems on Age Word Problems Question 104608: Kayla would be one-half as old as Nathan if Kayla were 4 years older. Nathan is eight less than three times as old as Kayla. How old are they? Answer by ankor@dixie-net.com(15746)   (Show Source): You can put this solution on YOUR website!: Let K = Kayla's age now, Let N = Nathan's age now : Kayla would be one-half as old as Nathan if Kayla were 4 years older. Kayla 4 yrs older = (K+4) The statement says: (K+4) = .5N or we can say: K = .5N - 4 : Nathan is eight less than three times as old as Kayla. N = 3K - 8 : How old are they? We can substitute (.5N-4) for K in the above equation and find N N = 3(.5N-4) - 8 N = 1.5N - 12 - 8 N = 1.5N - 20 N - 1.5N = -20 -.5N = - 20 N = -20/-.5 N = + 40 yrs is Nathan's age now : We know K = .5N - 4 K = .5(40) - 4 K = 20 - 4 K = 16 yrs is Kayla's age now : : Check our solutions in the statement: "Nathan is eight less than three times as old as Kayla." 40 = 3(16) - 8 40 = 48 - 8; confirms our solutions : Did this make sense to you? Any questions?