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kcopeland kcopeland
  • 08-06-2014
  • Mathematics
Answered

two times Antonio's age plus three times  sarah's age equal 34. sarah age is also five times antonio age.how old is sarah

Verified Answer :

iloveonedirection
iloveonedirection iloveonedirection
  • 08-06-2014

#1 - set up a system of equations letting s = sarah's age and a = antonio's age.
2a + 3s = 34
s = 5a

#2 - solve using substitution.
2a + 3(5a) = 34
2a + 15a = 34
17a = 34
a = 2
Antonio is 2 years old.

s = 5(2)
s= 10
Sarah is 10 years old.

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