SOLUTION: peter is three years younger than his brother hugo. ten years ago hugo was four times Peter's age. write and solve an equation to determine Peter and hugo 's current ages

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Question 1127437: peter is three years younger than his brother hugo. ten years ago hugo was four times Peter's age. write and solve an equation to determine Peter and hugo 's current ages
Answer by 4198181(13) About Me  (Show Source):
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Let p stand for Peter's age and h for Hugo's age
p=h-3
10 years ago Peter was (p-10) and Hugo was (h-10)
Hugo was 4 times peters age
h-10=4(p-10)
Substitute p into the equation
h-10=4((h-3)-10)
h-10=4(h-13)
h-10=4h-52
h+42=-4h
42=3h
14=h this means Hugo is 14 years old now
Substitute 14 back into the equation for h
p=14-3
p=11
Answer: Peter is 11 years old and Hugo is 14 years old