Question

100 POINTS+BRAINLIEST 8TH GRADE MATH PT 4: this one is similar to #3

Answer 1

The answer is B
Explanation

Answer 2

Answer:

b.  x + (x + 2) + (x + 4) = 39

Step-by-step explanation:

Definitions

• Integer:  a whole number that can be positive, negative or zero.
  e.g. ..., -3, -2, -1, 0, 1, 2, 3, ...
• Odd number: an integer that when divided by two leaves a remainder (so not a multiple of 2).  For example, 1, 3, 5, 7 are all positive odd numbers.
• Consecutive: following one after the other in order.

The sum of three consecutive odd integers

Let x be the first odd integer.

As there is a difference of 2 between consecutive odd integers, the next odd integer after x will be (x + 2).

Therefore, the next odd integer after (x + 2) will be (x + 2) + 2 = (x + 4).

So "the sum of three consecutive odd integers is thirty-nine" is:

x + (x + 2) + (x + 4) = 39

To solve

⇒ x + (x + 2) + (x + 4) = 39

⇒ x + x + 2 + x + 4 = 39

⇒ 3x + 6 = 39

⇒ 3x = 33

⇒ x = 11

Therefore, the three consecutive odd numbers are 11, 13 and 15.