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.