Question

Consecutive Odd Integers: Find two consecutive odd integers such that the difference of five times the first integer and three times the second integer is 28.

Answer 1

The first integer is 17, and the second integer is 19

Explanation:

Equations

Two consecutive odd integers can be represented as:

x: the first odd integer

x+2: the following odd integer

The condition states that five times the first integer subtracted by three times the second integer results 28:

`5x-3(x+2)=28`

Operating:

`5x-3x-6=28`

Adding 6 to both terms:

`5x-3x=28+6`

Joining like terms:

`2x=34`

Solving:

`x =34/2=17`

Thus, the first integer is 17, and the second integer is x+2=19