SOLUTION: The ages of three sisters are 3 consecutive even integers. If the sum of twice the 1st integer, 3 times the 2nd even integer. and the third even integer is 34, find each age

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Question 1119324: The ages of three sisters are 3 consecutive even integers. If the sum of twice the 1st integer, 3 times the 2nd even integer. and the third even integer is 34, find each age
Answer by ikleyn(52781) About Me  (Show Source):
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If n is the smallest of the three consecutive even integers, the condition gives you this equation


2n + 3*(n+2) + (n+4) = 34.


2n  + 3n + 6 + n + 4 = 34


6n = 24


n = 4.


Answer.  The ages are 4, 6 and 8 years.