hncarlSoloesmy hncarlSoloesmy
  • 01-04-2017
  • Mathematics
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Pat is 20 years older than his son patrick. in 8 years pat will be twice as old as patrick. how old are they now?

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SaraAzz03
SaraAzz03 SaraAzz03
  • 01-04-2017
let p = son Patrick's age
then father Pat's age is (p + 20)

in 8 years, son Patrick's age will be p + 8
in 8 years, Pat's age will be (p + 20) + 8

If Pat will be twice as old as son Patrick in 8 years we can write the following equation:
(p+20) + 8 = 2(p+8) and solve for p

p+28 = 2p + 16
12 = p

This means that patrick is 12 years old
And pat is 32 years old
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