If the first and third of three consecutive odd integers are added, the result is 69 less than five times the second integer. Find all three integers.

3 answers

first represent the unknowns with variables:
let x = first number
let x+2 = second number
let x+4 = third number
*since they are consecutive, and all of them are odd, they have a difference of 2, that's why it's x, x+2, x+4*
now, setup equation using the given conditions:
x + x+4 = 5(x+2) - 69
distribute the 5 (right side of equation) and then combine similar terms,
2x + 4 = 5x + 10 - 69
2x + 4 = 5x - 59
simplify this and solve for x.

hope this helps. :)

thank you

5+16x<-59