Question

Which of the following represents "the difference between ten and a number is the sum of eight and a number"?

A. 10 - N = 8 + N
B. 8 - N = 10 + N
C. 10 - N = 8 - N

Answer 1

The algebraic equation representing the statement is '10 - N = 8 + N'. To solve, you isolate variables on one side, resulting in '2N = 2', and then solve for 'N' to find that N = 1.

Step-by-step explanation:

The statement "the difference between ten and a number is the sum of eight and a number" translates to the algebraic equation A. 10 - N = 8 + N. Here's the step-by-step explanation:

• Difference means subtraction, so we start with 10 (a constant) and subtract a variable, let's call it 'N'.
• 'Is' in mathematical terms means equals, so we put the equal sign (=).
• On the right side of the equals sign, we have the sum, which means addition, of eight and the same number 'N'.

This equation can be further simplified by adding 'N' to both sides to isolate the constant terms on one side of the equation, leading to 2N = 2, and then dividing both sides by 2 to find the value of 'N' which is N = 1.