The sum of 12 and one third of n is 1 more than twice n. Express the statement in the form of an equation

Analyze the question: We need to turn the words into an equation, then simplify it into the form given in the options.

Concept: Translate each phrase:

• "The sum of 12 and one third of n" → 12 + n/3
• "is" → =
• "1 more than twice n" → 2n + 1

Solution:

12 + n/3 = 2n + 1

Multiply every term by 3 to remove the fraction:

36 + n = 6n + 3

Collect the terms on one side:

36 - 3 = 6n - n

33 = 5n

5n - 33 = 0

Tip: In "translate to an equation" questions, convert the words piece by piece. "Sum of" means add, "is" means equals, and "more than" means add on. Then clear fractions by multiplying through by the denominator, and check which option matches your simplified form.