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

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): You can put this solution on YOUR website!
.

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.

RELATED QUESTIONS
I have 5 questions 1) if x + 9 is an even integer, is x an even or odd integer? what... (answered by CubeyThePenguin)

I cannot figure out how to write the equation for this word problem. "If the 1st and... (answered by josgarithmetic)

The sum of twice the 1st, four times the 2nd plus the 3rd of the three consecutive even... (answered by ewatrrr)

Five times the first 3 consecutive even integer is 4 less than the twice of the sum of... (answered by sachi)

Find 4 consecutive even integers such that 2 times the sum of the 1st and 2nd is 14 more... (answered by stanbon)

Given two consecutive integers. The sum of 3 times the 1st integer and four times the 2nd (answered by jim_thompson5910)

The sum of the first and third integer of three consecutive even integers is 128. Find 3... (answered by CubeyThePenguin)

find three consecutive even integers such that 3 times the sum of the last two even... (answered by josgarithmetic,MathTherapy)

In a pair of consecutive even integers, the sum of 3 times the 1st number and 22 is the... (answered by ewatrrr)