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Ashok's mother was 3 times as old as Ashok 5 years ago. After 5 years she will be twice as old as Ashok. How old is Ashok today?
- a)10 years
- b)15 years
- c)20 years
- d)25 years
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Ashok's mother was 3 times as old as Ashok 5 years ago. After 5 years...
Suppose the present age of Ashok is P years and that of his mother is Q years.
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5 years ago
3×( age of Ashok -5)=( age of Ashok's mother -5)
3(P−5)=(Q−5)
⇒3P−15=0−5
⇒3P−Q=10….(i)
5 years after.
2×( age of Ashok +5)=( age of Ashok's mother +5)
2(P+5)=(Q+5)
⇒2P+10=Q+5
⇒2P−Q=−5… (ii)
From equations (i) and (ii), we get
P=15 years
So, the present age of Ashok is 15 years.
Hence, the correct option is (B).
Most Upvoted Answer
Ashok's mother was 3 times as old as Ashok 5 years ago. After 5 years...
Given:
- Ashok's mother was 3 times as old as Ashok 5 years ago.
- After 5 years she will be twice as old as Ashok.
To find:
- Ashok's current age.
Solution:
Let's assume Ashok's current age as x. Then,
- 5 years ago, Ashok's age was x - 5.
- 5 years ago, Ashok's mother's age was 3 times Ashok's age, so her age was 3(x-5).
- After 5 years, Ashok's age will be x + 5.
- After 5 years, Ashok's mother's age will be twice Ashok's age, so her age will be 2(x + 5).
From the given information, we can form two equations:
- 3(x-5) = Ashok's mother's age 5 years ago
- 2(x+5) = Ashok's mother's age after 5 years
Let's solve these equations to find Ashok's current age:
- 3(x-5) = 2(x+5)
- 3x - 15 = 2x + 10
- x = 25
Therefore, Ashok's current age is 25 years.
Answer:
Option (d) 25 years.
- Ashok's mother was 3 times as old as Ashok 5 years ago.
- After 5 years she will be twice as old as Ashok.
To find:
- Ashok's current age.
Solution:
Let's assume Ashok's current age as x. Then,
- 5 years ago, Ashok's age was x - 5.
- 5 years ago, Ashok's mother's age was 3 times Ashok's age, so her age was 3(x-5).
- After 5 years, Ashok's age will be x + 5.
- After 5 years, Ashok's mother's age will be twice Ashok's age, so her age will be 2(x + 5).
From the given information, we can form two equations:
- 3(x-5) = Ashok's mother's age 5 years ago
- 2(x+5) = Ashok's mother's age after 5 years
Let's solve these equations to find Ashok's current age:
- 3(x-5) = 2(x+5)
- 3x - 15 = 2x + 10
- x = 25
Therefore, Ashok's current age is 25 years.
Answer:
Option (d) 25 years.
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Ashok's mother was 3 times as old as Ashok 5 years ago. After 5 years she will be twice as old as Ashok. How old is Ashok today?a)10 yearsb)15 yearsc)20 yearsd)25 yearsCorrect answer is option 'B'. Can you explain this answer?
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