A famous television star, unwilling to give out his age, posed the following problem to a magazine reporter. "I have a dog called Eight Ball. Four years ago I was eleven times as old as Eight ball. Now I am six times as old". How old is the movie star?

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Answer 1 · 2018-06-03T08:29:08

48 years old.

Let #a# be the star's age and #b# be the dog's.

#a-4=11(b-4)#

#a=6b#

#a-4=11(a/6-4) #

#6a - 24 = 11 a - 264 #

#240 = 5a #

#a = 48 #

Check:

# b=a/6=8#

#48-4=44 #

#11(48/6-4)=11(4)=44 quad sqrt#