Three times the first of three consecutive odd integers is 3 more than twice the third. What is the third integer?

Problem restatement
Let the consecutive odd integers be x, x + 2, x + 4. Use the given linear relation to find x and then the third integer.

Given data

• 3x = 2(x + 4) + 3

Concept/Approach
Translate the verbal condition into an equation and solve.

Step-by-step calculation
3x = 2x + 8 + 3 = 2x + 11 x = 11 Third integer = x + 4 = 15

Verification/Alternative
Check: 3×11 = 33 and 2×15 + 3 = 33, so the condition holds.

Final Answer
15