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The sum of three numbers is 2100. The first number (x) is equal to the sum of the other two (y and z) which are equal to each other. What are the three numbers (x, y, and z)? A) (1050, 525, 525) B) (1050, 524, 525) C) (1050, 526, 523) D) (1051, 525, 524)

1 Answer

3 votes

Answer:

Let's solve the problem step-by-step:

We are given that the sum of three numbers is 2100. Let's call the first number x and the other two numbers y and z.

From the information given, we know that x = y + z, and y = z (the other two numbers are equal to each other).

Substituting y = z into x = y + z, we have x = 2z.

We are also given that the sum of the three numbers is 2100. So, we can write the equation x + y + z = 2100.

Substituting x = 2z and y = z, we have 2z + z + z = 2100.

Simplifying the equation, we have 4z = 2100.

Dividing both sides of the equation by 4, we find z = 525.

Substituting z = 525 back into y = z, we find y = 525.

Finally, substituting z = 525 and y = 525 back into x = 2z, we find x = 1050.

Therefore, the three numbers are x = 1050, y = 525, and z = 525.

Among the options provided, the correct answer is A) (1050, 525, 525).

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User Lefakir
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