Posted by **franklin** on Monday, November 8, 2010 at 9:39pm.

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.

- algebra -
**jai**, Monday, November 8, 2010 at 9:57pm
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. :)

- algebra -
**franklin**, Monday, November 8, 2010 at 10:00pm
thank you

- algebra -
**monique**, Thursday, February 3, 2011 at 4:27pm
5+16x<-59

## Answer this Question

## Related Questions

- maths - 1. If the first and third of three consecutive odd integers are added, ...
- maths - 1. If the first and third of three consecutive odd integers are added, ...
- Algebra - If the first and third of three consecutive even integers are added, ...
- math - A. Four times one odd integer is 14 less than three times the next even ...
- algebra - Five times the smallest of three consecutive odd integers is ten more ...
- quad. eq. - find 3 consecutive integers such that the product of the second and ...
- math/algebra - Determine three consecutive odd integers such that three times ...
- Mathematics - Find three consecutive integers such that the sum of the first and...
- Math Algebra - Two times the smallest of three consecutive odd integers is one ...
- Math - find three consecutive positive odd integers such that the sum of the ...

More Related Questions