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
Algebra ->
Sequences-and-series
-> 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
Log On
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) (Show Source):
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.