exactly seven years ago, sam was 5 times the age of Janet. exactly 2 years ago, sam was 3 times the age of janet. what is the sum of their ages today
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let Sam age be s, Janet be j
s-7 = 5(j-7)=5j-35
s-2 =3(j-2) =3j-6
solving for both
-5 = 2j-29
2j = 24
j = 12
s= 32
s+j = 44
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