SOLUTION: Find three consecutive odd number such that 5 times the middle number is greater than the sum of the first and last number by 495.

Algebra.Com
Question 1065957: Find three consecutive odd number such that 5 times the middle number is greater than the sum of the first and last number by 495.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
The numbers:
163, 165, 167

CHECK: 5*165-163-167=495
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Find three consecutive odd number such that 5 times the middle number is greater than the sum of the first and last number by 495. 
Let 1st number be F

Then middle and largest =  F + 2, and F + 4, respectively

We then get: 5(F + 2) = F + F + 4 + 495

5F + 10 = 2F + 499

5F - 2F = 499 - 10

3F = 489

F, or 1st = 

You should be able to find the middle and largest! 

RELATED QUESTIONS


Find three consecutive odd natural numbers such that the product of the first and the... (answered by jorel555)

Find three consecutive odd integers such that five times the middle integer equals 33... (answered by ewatrrr)

Find the largest of three consecutive odd integers, such that 3 times the middle integer... (answered by Alan3354)

Find three consecutive odd integers such that 4 times the sum of the last two is 2... (answered by Paul)

Find three consecutive odd intergers such that 4 times the sum of the last two is 2... (answered by tutorcecilia)

Find three consecutive odd integers such that four times the sum of the last two is two... (answered by josmiceli)

find three consecutive odd integers such that 4 times the sum of the last two is 2... (answered by macston)

Find three consecutive odd integers such that three times the middle number is 23 more... (answered by CubeyThePenguin)

Find the consecutive odd integers such that the sum of the smallest number and middle... (answered by josgarithmetic,ikleyn)