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?
Practice Questions
1 question
Q1
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?
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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.
Questions & Step-by-step Solutions
1 item
Q
Q: 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?
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.
Steps: 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)'.
