# Algebra

posted by .

The sum of two consecutive odd integers is 56.
A. Define a variable for the smaller integer.
B. What must you add to an odd integer to get the next greater odd integer?
C. Write an expression for the second integer.
D. Write and solve an equation to find the two odd integers.

• Algebra -

(a) represent the unknowns using variables:
let x = be the smaller odd integer

(b) since the difference between any odd integers is always 2, we must add 2 to the smaller odd integer to get the next odd integer.

(c) let x + 2 = be the greater odd integer

(d) since it is stated that the sum of the integers is equal to 56,
x + (x + 2) = 56
2x + 2 = 56
2x = 54
x = 27 (smaller odd integer)
x + 2 = 29 (larger odd integer)

hope this helps~ :)

• Algebra -

Yeah, I did it right! Thank you!!

## Similar Questions

1. ### math check

Posted by TchrWill on Thursday, July 14, 2005 at 5:44pm. 2.)The sum of four consecutive odd integers is -336. Set up an equation AND solve for all of the integers. Two ways to approach this. -336/4 = -84 making the 4 consecutive odd …
2. ### pre-algebra

The perimeter of a triangle is 195 mm.If the lengths of the sides are consecutive odd integers,find the length of each side. what steps do i need to do in order to get the answre?
3. ### discrete math

Prove by contradiction that for any even integer a and any odd integer b, 4 does not divide (a^2 + 2b^2). Proposition: That 4k (k is any integer) = a^2 +2b^2, and a is even, and b is odd. But 4k is even (product of any integer and …
4. ### algebra

Find the two consecutive odd integers such that 5 times the first integer is 12 more than 3 times the second. can some explain to me how to get this i was thinking the formula would be ' 5x+12=3x No, that's not it. The second integer …
5. ### algebra 2

consecutive odd integer problem find two odd integers the sum of whose squares is 130. (sq)=squared let x= 1st odd int let x+2=2nd odd int (2x+2)(2x+2)=130 4x(sq) + 4x+ 4x +4=130 4x(sq) + 8x -126= 0 2(2x(sq)+4x-63)=0 My question: WHAT …
6. ### math

if the number represented by n-3 is an odd integer, which expression represents the next greater odd integer?
7. ### Algebra

The sum of two consecutive even integers is 118. A. Define a variable for the smaller integer. B. What must you add to an even integer to get the next greater even integer?
8. ### math

A. Four times one odd integer is 14 less than three times the next even integer. Find the integers. B. The average of four consecutive odd integers is 16. Find the largest integer. C. When the sum of three consecutive integers is divided …
9. ### algebra

three times an odd integer is eleven less than four times the next greater even integer. What is the odd integer?
10. ### algebra 1

PLEASE HELP! NO ONE ANSWERED THE QUESTION three times an odd integer is eleven less than four times the next greater even integer. What is the odd integer?

More Similar Questions