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1 year ago

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

Mathematics

2 answers:

8_murik_8 [283]1 year ago

8 0

The answer is B
Explanation

djverab [1.8K]1 year ago

6 0

Answer:

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

Step-by-step explanation:

<u>Definitions</u>

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.

<u>The sum of three consecutive odd integers</u>

Let x be the first odd integer.

As there is a <u>difference of 2</u> between <u>consecutive odd integers</u>, 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

<u>To solve</u>

⇒ 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.

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