If the present age of a man is 4 times that of his son, and after 5 years, the m

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Question: If the present age of a man is 4 times that of his son, and after 5 years, the man will be 3 times as old as his son. What is the present age of the son?

Options:

Correct Answer: 10

Solution:

Let the son\'s age be x. Then the man\'s age is 4x. In 5 years, 4x + 5 = 3(x + 5). Solving gives x = 10.

If the present age of a man is 4 times that of his son, and after 5 years, the m

Practice Questions

If the present age of a man is 4 times that of his son, and after 5 years, the man will be 3 times as old as his son. What is the present age of the son?

Questions & Step-by-Step Solutions

If the present age of a man is 4 times that of his son, and after 5 years, the man will be 3 times as old as his son. What is the present age of the son?

Correct Answer: 10

Step 1: Let the present age of the son be represented by 'x'.
Step 2: Since the man's age is 4 times the son's age, we can express the man's age as '4x'.
Step 3: In 5 years, the son's age will be 'x + 5'.
Step 4: In 5 years, the man's age will be '4x + 5'.
Step 5: According to the problem, in 5 years, the man will be 3 times as old as his son. We can write this as the equation: '4x + 5 = 3(x + 5)'.
Step 6: Now, simplify the equation: '4x + 5 = 3x + 15'.
Step 7: To isolate 'x', subtract '3x' from both sides: '4x - 3x + 5 = 15'.
Step 8: This simplifies to 'x + 5 = 15'.
Step 9: Now, subtract 5 from both sides: 'x = 15 - 5'.
Step 10: This gives us 'x = 10'. Therefore, the present age of the son is 10 years.

Algebraic Equations – The question tests the ability to set up and solve linear equations based on relationships between ages.
Age Problems – It involves understanding how to express age relationships and changes over time.

If the present age of a man is 4 times that of his son, and after 5 years, the m

What’s inside this PDF?

If the present age of a man is 4 times that of his son, and after 5 years, the m

Practice Questions

Questions & Step-by-Step Solutions

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