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A man is thrice as old as his daughter. 5 years ago the man was four times as old as his daughter, what is the age of the daughter?
- a)10 years
- b)12 years
- c)14 years
- d)15 years
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A man is thrice as old as his daughter. 5 years ago the man was four t...
Let the age of daughter be x years.
∴ Man's age = 3x.
and 5 years ago, daughter's age = x-5
∴ Man's age = 3x —5
⇒ 3x —5= 4x —20 = 4x —3x = — 5 + 20
⇒ x =15 years
∴ Man's age = 3x.
and 5 years ago, daughter's age = x-5
∴ Man's age = 3x —5
⇒ 3x —5= 4x —20 = 4x —3x = — 5 + 20
⇒ x =15 years
Most Upvoted Answer
A man is thrice as old as his daughter. 5 years ago the man was four t...
Let's assume the age of the daughter is x years.
According to the information given in the question, the man is thrice as old as his daughter. Therefore, the age of the man would be 3x years.
5 years ago, the age of the daughter would have been x - 5 years, and the age of the man would have been 3x - 5 years.
According to the second piece of information given in the question, 5 years ago, the man was four times as old as his daughter. This can be represented as an equation:
3x - 5 = 4(x - 5)
Simplifying the equation:
3x - 5 = 4x - 20
Subtracting 3x from both sides:
-x - 5 = -20
Adding 5 to both sides:
-x = -15
Multiplying both sides by -1 (to eliminate the negative sign):
x = 15
Therefore, the age of the daughter is 15 years. Hence, the correct answer is option 'D'.
According to the information given in the question, the man is thrice as old as his daughter. Therefore, the age of the man would be 3x years.
5 years ago, the age of the daughter would have been x - 5 years, and the age of the man would have been 3x - 5 years.
According to the second piece of information given in the question, 5 years ago, the man was four times as old as his daughter. This can be represented as an equation:
3x - 5 = 4(x - 5)
Simplifying the equation:
3x - 5 = 4x - 20
Subtracting 3x from both sides:
-x - 5 = -20
Adding 5 to both sides:
-x = -15
Multiplying both sides by -1 (to eliminate the negative sign):
x = 15
Therefore, the age of the daughter is 15 years. Hence, the correct answer is option 'D'.
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A man is thrice as old as his daughter. 5 years ago the man was four times as old as his daughter, what is the age of the daughter?a)10 yearsb)12 yearsc)14 yearsd)15 yearsCorrect answer is option 'D'. Can you explain this answer?
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