Four times the lesser of two consecutive even integers is twelve less than twice the greater number. what are the two integers?

Four times the lesser of two consecutive even integers is 12 less than twice the greater number. Find the integers.

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let the numbers be x & x+2

4x=2(x+2)-12

4x=2x+4-12

4x-2x=-8

2x=-8

/2

x=-4

the numbers are -4 & -2

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

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answer: d.) the total number of protons and neutrons is 15

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