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Manoj is twice as old as Monu. 3 years ago Manoj was three times as old as Monu. What is the present age of Manoj?
- a)6 years
- b)12 years
- c)18 years
- d)24 years
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Manoj is twice as old as Monu. 3 years ago Manoj was three times as ol...
Let Monu’s age = x
Manoj’s age = 2x
A/Q, 2x – 3 = 3 (x – 3)
⇒ 2x – 3 = 3x – 9
⇒ 3x – 2x = 9 – 3
⇒ x = 6
∴ Present age of Manoj = 2 × 6 = 12 years.
Manoj’s age = 2x
A/Q, 2x – 3 = 3 (x – 3)
⇒ 2x – 3 = 3x – 9
⇒ 3x – 2x = 9 – 3
⇒ x = 6
∴ Present age of Manoj = 2 × 6 = 12 years.
Most Upvoted Answer
Manoj is twice as old as Monu. 3 years ago Manoj was three times as ol...
Given:
Manoj is twice as old as Monu.
3 years ago, Manoj was three times as old as Monu.
Let's assume Monu's present age to be x years.
According to the given information, Manoj's present age would be 2x years, as he is twice as old as Monu.
Three years ago, Monu's age would be (x - 3) years and Manoj's age would be (2x - 3) years.
According to the second given information,
3 years ago, Manoj was three times as old as Monu.
This can be written as:
(2x - 3) = 3(x - 3)
Simplifying the equation:
2x - 3 = 3x - 9
-x = -6
x = 6
Therefore, Monu's present age is 6 years.
To find Manoj's present age, substitute the value of x in the equation:
Manoj's present age = 2x = 2 * 6 = 12 years.
Hence, the present age of Manoj is 12 years.
Manoj is twice as old as Monu.
3 years ago, Manoj was three times as old as Monu.
Let's assume Monu's present age to be x years.
According to the given information, Manoj's present age would be 2x years, as he is twice as old as Monu.
Three years ago, Monu's age would be (x - 3) years and Manoj's age would be (2x - 3) years.
According to the second given information,
3 years ago, Manoj was three times as old as Monu.
This can be written as:
(2x - 3) = 3(x - 3)
Simplifying the equation:
2x - 3 = 3x - 9
-x = -6
x = 6
Therefore, Monu's present age is 6 years.
To find Manoj's present age, substitute the value of x in the equation:
Manoj's present age = 2x = 2 * 6 = 12 years.
Hence, the present age of Manoj is 12 years.
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Manoj is twice as old as Monu. 3 years ago Manoj was three times as old as Monu. What is the present age of Manoj?a)6 yearsb)12 yearsc)18 yearsd)24 yearsCorrect answer is option 'B'. Can you explain this answer?
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