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2 years ago

SOMEONE PLEASE HELP ME

Mathematics

1 answer:

Ostrovityanka [42]2 years ago

8 0

Answer:

28, 30, 32

Step-by-step explanation:

Three consecutive even numbers are three even numbers that are next to each other. For example, 2, 4 and 6 would be 3 consecutive even numbers.

With this sort of problem, you want to try to let each number be equal to one thing and then construct the same number of equations as you have variables:

Let's let,

Integer 1 = X

Integer 2 = Y

Integer 3 = Z

X + Y + Z = 90

We also know, that

Y = X + 2

And that

Z = X + 4

Now, we can sub these equations into the first equation. We do this so that we have everything represented as the same variable.

90 = X + (X+2) + (X+4)

90 = 3X + 6

84 = 3X

28 = X

So, the numbers are 28, 30 and 32

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Solution: The false conjecture is:

J. The sum of two odd numbers is odd

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F. The product of two even numbers is even.

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$4 \times 6 = 24$

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G. The sum of two even numbers is even.

For example: Let us take two even numbers 4 and 6.

The sum of two even numbers is:

$4+6 = 10$

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For example: Let us take two odd numbers 3 and 5.

The product of two odd numbers is:

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Therefore, the product is also odd number. Hence the conjecture is true.

J. The sum of two odd numbers is odd.

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