The numbers on two consecutively numbered gym lockers a have a sum of 153. What are the locker numbers?

76 and 77 are the locker numbers.

Step-by-step explanation:

Let the number be x and (x + 1)

The sum of two consecutively number is 153

Now,

x + (x + 1) = 153

x + x + 1 = 153

2x + 1 = 153

Now, subtract 1 from both side we get,

2x + 1 - 1 = 153 - 1

2x = 152

Now, divide by 2 from both side we get,

2x/2 = 152/2

x = 76

Here, The value of x is 76

Now, the first number = x = 76 and the Second number = (x + 1) = 76 + 1 = 77

Thus, 76 and 77 are the locker numbers.

x + (x + 1) = 153

76 + (76 + 1) = 153

153 = 153

L.H.S = R.H.S

Hence Proved!

-TheUnknownScientist 72

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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step-by-step explanation:

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