# algebra

posted by Zephine

The present ages in years of four cousins are consecutive multiples of 3. Five years ago the sum of their ages was 46. What is their ages now?

1. Steve

if their ages are a,b,c,d, then

a+b+c+d = 3n + 3n+3 + 3n+6 + 3n+9 = 12n + 18
(a-5)+(b-5)+(c-5)+(d-5) = 46
a+b+c+d = 66

so, 12n+18 = 66
n=4

so, the ages are 12,15,18,21
5 years ago, they were 7,10,13,16 and added up to 46

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