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?
n = even number
n - 1 = odd number
3 ( n - 1 ) = 4 n - 11
3 n - 3 = 4 n - 11 Subtract 3 n to both sides
3 n - 3 - 3 n = 4 n - 11 - 3 n
- 3 = n - 11 Add 11 to both sides
- 3 + 11 = n - 11 + 11
8 = n
n = 8 = even number
n - 1 = 7 = odd number
Yes, your question was answered.
http://www.jiskha.com/display.cgi?id=1422242533
Always check back to avoid un-necessary duplication of answers such as this.
Secondly it does not help if you switch names.
To solve this problem, let's break it down into smaller steps:
Step 1: Let's represent the unknown odd integer as 'x'.
Step 2: Since it is an odd integer, we can express it as 2n + 1, where 'n' represents any integer.
Step 3: The next greater even integer can be represented as 'x + 2'.
Step 4: We are given that three times the odd integer is eleven less than four times the next greater even integer. Mathematically, this can be written as:
3x = 4(x + 2) - 11
Step 5: Simplify and solve the equation for 'x':
3x = 4x + 8 - 11
3x - 4x = -3
-x = -3
x = 3
Therefore, the odd integer is 3.