Which is greater: 0.065 or 2/3

Mathematics
Which is greater: 0.065 or 2/3

ScanSolve AI Answer

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 FF be the father's age and SS 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. F=4S(1)F = 4S \quad (1) From the second sentence: Their ages add up to 50 years. F+S=50(2)F + S = 50 \quad (2)

Step 3: Substitute equation (1) into equation (2). 4S+S=504S + S = 50 5S=505S = 50

Step 4: Solve for SS. S=505S = \frac{50}{5} S=10S = 10 The son's age is 10 years. The final answer is 10 years\boxed{10 \text{ years}}.

19. Which is greater: 0.0650.065 or 23\frac{2}{3}?

Step 1: Convert the fraction to a decimal. 23=0.666...\frac{2}{3} = 0.666...

Step 2: Compare the two decimal values. We need to compare 0.0650.065 and 0.666...0.666.... Clearly, 0.666...0.666... is greater than 0.0650.065.

Step 3: State which number is greater. Therefore, 23\frac{2}{3} is greater than 0.0650.065. The final answer is 23\boxed{\frac{2}{3}}.

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