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FromTheMoon [43]
2 years ago
7

HELP PLSSSSSSSS!!! TY!!! If the sum of four consecutive numbers is 1998, what is the third number? The third number is ?

Mathematics
1 answer:
tensa zangetsu [6.8K]2 years ago
7 0

Answer:

500

Step-by-step explanation:

Hello!

Let the smallest number be x. The next number would be x + 1, then the next would be x + 2, then x + 3.

The sum of these four is 1998.

Solve for x:

  • x + (x + 1) + (x + 2) + (x + 3) = 1998
  • 4x + 6 = 1998
  • 4x = 1992
  • x = 498

The third number is (x + 2), so simply add 2 to 498 = 500

The third number is 500.

All 4 numbers are 498, 499, 500, and 501.

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Answer: There are 18 students in a van and 24 students in a bus.

Step-by-step explanation:

Let the number of students in the van be 'x' and the number of students in bus be 'y'.

Then, According to the question, we have the following system

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Multiply 2 to both the sides of equation (2), we get

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Subtract equation (1) from equation (3), we get

15x=270\\\Rightarrow\ x=\frac{270}{15}\\\Rightarrow\ x=18

Substitute value of x in (1), we get

18+10y=258\\\Rightarrow\ 10y=240\\\Rightarrow\ y=24

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4 years ago
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