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the sum of three numbers is 1133. one of the numbers, k, is 20% greater than the sum of the other two numbers. what is the value of k

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Answer:

Explanation:

Let's denote the three numbers as A, B, and k, where k is the number that is 20% greater than the sum of the other two numbers.

According to the given information, the sum of the three numbers is 1133:

A + B + k = 1133

We also know that k is 20% greater than the sum of the other two numbers. In other words, k is equal to 1.2 times the sum of A and B:

k = 1.2(A + B)

Now we can substitute this into the equation for the sum of the three numbers:

A + B + 1.2(A + B) = 1133

To simplify the equation, we combine like terms:

2.2(A + B) = 1133

Dividing both sides by 2.2, we find:

A + B = 1133 / 2.2

A + B ≈ 515.91

Now that we know the sum of A and B is approximately 515.91, we can substitute this value back into the equation for k:

k = 1.2(A + B)

k = 1.2(515.91)

k ≈ 619.09

Therefore, the value of k is approximately 619.09.

User Alekzander
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