This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
Which is greater: 0.065 or 2/3

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Here are the solutions to your problems:
18. A father is 4 times as old as his son. Their ages add up to 50 years. How old is the son?
Step 1: Define variables for the ages. Let be the father's age and be the son's age.
Step 2: Set up equations based on the given information. From the first sentence: The father is 4 times as old as his son. From the second sentence: Their ages add up to 50 years.
Step 3: Substitute equation (1) into equation (2).
Step 4: Solve for . The son's age is 10 years. The final answer is .
19. Which is greater: or ?
Step 1: Convert the fraction to a decimal.
Step 2: Compare the two decimal values. We need to compare and . Clearly, is greater than .
Step 3: State which number is greater. Therefore, is greater than . The final answer is .
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