Asked 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?
Answers
Answered by
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
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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