Problem

The sum of three numbers is 24 . The third is 7 more than 6 times the second. 4 times the first is 6 more than 2 times the second. Find the numbers. Shiow your work here

Solution

Step 1 :Let's denote the three numbers as \(x\), \(y\), and \(z\).

Step 2 :From the problem, we can form three equations:

Step 3 :\(x + y + z = 24\) (The sum of three numbers is 24)

Step 4 :\(z = 6y + 7\) (The third is 7 more than 6 times the second)

Step 5 :\(4x = 2y + 6\) (4 times the first is 6 more than 2 times the second)

Step 6 :Solving these equations, we get the solution: \(x = \frac{38}{15}\), \(y = \frac{31}{15}\), and \(z = \frac{97}{5}\)

Step 7 :Final Answer: The three numbers are \(\boxed{\frac{38}{15}}\), \(\boxed{\frac{31}{15}}\), and \(\boxed{\frac{97}{5}}\)

From Solvely APP
Source: https://solvelyapp.com/problems/46294/

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