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yawa3891 [41]
3 years ago
15

The numbers on two consecutively numbered gym lockers have a sum of 137. what are the locker numbers ?

Mathematics
1 answer:
nika2105 [10]3 years ago
4 0

Answer:

The two locker numbers are 68 & 69.

Step-by-step explanation:

Let one locker number be x then other will be , then other will be x+1.

We are given that sum is 137.

x+x+1=137

2x+1=137

2x=136

x = 68

The two locker numbers are 68 & 69.

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Can u please help me in number 23 please i don’t know how to do this
pogonyaev

This is an example of systems of equations, using weird symbols rather than x or y.

We'll substitute the symbols for the variables d and c

d for diamond, c for clover.

3 + d = c

c + d = 11

We can solve for one variable in the first equation to find the true value of the other variable in the second equation.

3 + d = c

<em><u>Subtract 3 from both sides.</u></em>

d = c - 3

Now we have a value for d and can solve the second equation.

c + d = 11

<em><u>Substitute.</u></em>

c + c - 3 = 11

<em><u>Add 3 to both sides.</u></em>

c + c = 14

<em><u>Combine like terms.</u></em>

2c = 14

<em><u>Divide both sides by 2.</u></em>

c = 7

Now we know the absolute value of c and can solve for the value of d.

d + c = 11

d + 7 = 11

<u><em>Subtract 7 from both sides.</em></u>

d = 4

The diamond, or d, is equal to 4. And the clover, or c, is equal to 7. (This is your answer.)

Let me know if you have any questions.

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