SOLUTION: find three consecutive odd integers such that the first plus the second plus three times the third is 94.

Question 658520: find three consecutive odd integers such that the first plus the second plus three times the third is 94.

Answer by kevwill(135) (Show Source): You can put this solution on YOUR website!
There is no solution with odd integers. Let 2k+1, 2k+3, and 2k + 5 be the three odd integers where k is also an integer. Then the sum of the first plus the second plus the three times the third is:
(2k+1) + (2k+3) + 3(2k+5) = 2k + 1 + 2k + 3 + 6k + 15 = 10k + 19
But since k is an integer, 10k + 19 will always be an odd number, hence there is no integer value k for which 8k + 19 = 94.

RELATED QUESTIONS
ind three consecutive odd integers such that twice the first and third plus three times... (answered by Alan3354)

Find three consecutive odd numbers such that eight times the first plus the third is... (answered by mananth)

find two consecutive odd integers such that three times the first plus two times the... (answered by Fombitz)

find two consecutive odd integers such that three times the first plus two times the... (answered by Maths68)

Find three consecutive odd intergers such that the first plus the second is equal to... (answered by math_helper)

Find three consecutive even integers such that twice the second plus 3 times the third is (answered by CubeyThePenguin)

Find three consecutive even integers such that the first plus twice the second plus four... (answered by rajagopalan)

find three consecutive odd positive integers such that 5 times the third integer equals... (answered by CubeyThePenguin,MathTherapy,ikleyn)

Find three consecutive integers such that the first integer plus two times the second... (answered by richwmiller)