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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
Ashoks mother was 3 times as old as Ashok 5 years ago. After 5 years, ...
Suppose the present age of Ashok is x year, and that of his mother is y years.
5 years ago, 3(x - 5) = (y - 5)
3x - 15 = y - 5
3x - y = 10 ... (i)
5 years hence, 2(x + 5) = y + 5
2x + 10 = y + 5
2x - y = -5 ... (ii)
From equation (i) and (ii), x = 15
Most Upvoted Answer
Ashoks mother was 3 times as old as Ashok 5 years ago. After 5 years, ...
Solution:
Let's assume that Ashok is x years old today.
5 years ago, Ashok was (x-5) years old.
Also, Ashok's mother was 3 times as old as Ashok 5 years ago, which means she was 3(x-5) years old.
After 5 years, Ashok will be (x+5) years old.
And, Ashok's mother will be 2 times as old as Ashok after 5 years, which means she will be 2(x+5) years old.
Now, we can form equations using the above information:
Ashok's mother was 3 times as old as Ashok 5 years ago:
3(x-5) = Ashok's mother's age 5 years ago
Ashok's mother's age after 5 years will be twice as old as Ashok:
2(x+5) = Ashok's mother's age after 5 years
We can simplify these equations:
3(x-5) = 2x-10
3x-15 = 2x-10
x = 5
So, Ashok is 5 years old today.
Answer: (b) 15 years.
Let's assume that Ashok is x years old today.
5 years ago, Ashok was (x-5) years old.
Also, Ashok's mother was 3 times as old as Ashok 5 years ago, which means she was 3(x-5) years old.
After 5 years, Ashok will be (x+5) years old.
And, Ashok's mother will be 2 times as old as Ashok after 5 years, which means she will be 2(x+5) years old.
Now, we can form equations using the above information:
Ashok's mother was 3 times as old as Ashok 5 years ago:
3(x-5) = Ashok's mother's age 5 years ago
Ashok's mother's age after 5 years will be twice as old as Ashok:
2(x+5) = Ashok's mother's age after 5 years
We can simplify these equations:
3(x-5) = 2x-10
3x-15 = 2x-10
x = 5
So, Ashok is 5 years old today.
Answer: (b) 15 years.
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Community Answer
Ashoks mother was 3 times as old as Ashok 5 years ago. After 5 years, ...
Suppose the present age of Ashok is x year, and that of his mother is y years.
5 years ago, 3(x - 5) = (y - 5)
3x - 15 = y - 5
3x - y = 10 ... (i)
5 years hence, 2(x + 5) = y + 5
2x + 10 = y + 5
2x - y = -5 ... (ii)
From equation (i) and (ii), x = 15
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Ashoks 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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