Question

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

If your gonna give me an example by writing it down on a paper could you make the example look neat for me so I could understand easier . Thank you .

Answer 1

Answer:

(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)