Question

7. Choose the correct equation for the statement:
When the sum of 3 consecutive even integers is divided by 6, the quotient is 8.
A
3n+3
=
= 8
6
B
3n+6+6=8
I
3n+6
= 8
6
n+n+2+n+4:6=8

Answer 1

Let's see

The integers be

• n
• n+2
• n+4

So their sum

• n+n+2+n+4

Divided by 6

• n+n+2+n+4/6

Tune down into ratio

• n+n+2+n+4:6

Put final equation on line

• n+n+2+n+4:6=8

Spare equations

• 3n+6:6=8

Answer 2

The correct equation for the statement: 3n+6:6=8

What is Algebra?

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. In elementary algebra, those symbols (today written as Latin and Greek letters) represent quantities without fixed values, known as variables.

Let the three consecutive integers be

• n
• n+2
• n+4

So their sum

n+n+2+n+4

and,

=n+n+2+n+4/6

=(3n+6)/6

= (n+2)/6

Hence, correct equation for the statement: 3n+6:6=8

Lean more about algebra here:

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