Problema Solution

One half of the sum of three consecutive multiples of 10 is 90. What are the multiples of 10?

Answer provided by our tutors

the three consecutive multiples of 10 can be written as


(k-1)10, k10, (k + 1)10,


where k is integer


One half of the sum of three consecutive multiples of 10 is 90


(1/2)((k-1)10 + k10 + (k + 1)10) = 90


by solving we find


k = 6


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the three consecutive multiples of 10 are 50, 60 and 70.