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Renu's mother was three times as old as Renu 5 years ago. After 5 years, she will be twice as old as Renu. Renu's present age in years is
- a)35
- b)10
- c)20
- d)15
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Renu's mother was three times as old as Renu 5 years ago. After 5 ...
Given: 3(R - 5) = (M - 5)
and, 2(R + 5) = (M + 5)
∴ M = 35, R = 15
and, 2(R + 5) = (M + 5)
∴ M = 35, R = 15
Most Upvoted Answer
Renu's mother was three times as old as Renu 5 years ago. After 5 ...
Given information:
- Renu's mother was three times as old as Renu 5 years ago.
- After 5 years, Renu's mother will be twice as old as Renu.
Let's assume Renu's present age is 'x' years and her mother's present age is 'y' years.
Renu's age 5 years ago: x - 5
Renu's mother's age 5 years ago: y - 5
According to the first statement, Renu's mother was three times as old as Renu 5 years ago:
y - 5 = 3(x - 5)
y - 5 = 3x - 15
3x - y = 10 ...........(1)
According to the second statement, after 5 years, Renu's mother will be twice as old as Renu:
y + 5 = 2(x + 5)
y + 5 = 2x + 10
2x - y = -5 ...........(2)
We have a system of two equations (1) and (2) with two variables (x and y). We can solve these equations to find the values of x and y.
Solving equations (1) and (2) simultaneously, we get:
3x - y = 10 ...........(1)
2x - y = -5 ...........(2)
Subtracting equation (2) from equation (1), we get:
3x - 2x = 10 - (-5)
x = 15
Substituting the value of x in equation (2), we get:
2(15) - y = -5
30 - y = -5
y = 35
Therefore, Renu's present age is 15 years (option D).
- Renu's mother was three times as old as Renu 5 years ago.
- After 5 years, Renu's mother will be twice as old as Renu.
Let's assume Renu's present age is 'x' years and her mother's present age is 'y' years.
Renu's age 5 years ago: x - 5
Renu's mother's age 5 years ago: y - 5
According to the first statement, Renu's mother was three times as old as Renu 5 years ago:
y - 5 = 3(x - 5)
y - 5 = 3x - 15
3x - y = 10 ...........(1)
According to the second statement, after 5 years, Renu's mother will be twice as old as Renu:
y + 5 = 2(x + 5)
y + 5 = 2x + 10
2x - y = -5 ...........(2)
We have a system of two equations (1) and (2) with two variables (x and y). We can solve these equations to find the values of x and y.
Solving equations (1) and (2) simultaneously, we get:
3x - y = 10 ...........(1)
2x - y = -5 ...........(2)
Subtracting equation (2) from equation (1), we get:
3x - 2x = 10 - (-5)
x = 15
Substituting the value of x in equation (2), we get:
2(15) - y = -5
30 - y = -5
y = 35
Therefore, Renu's present age is 15 years (option D).
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Renu's mother was three times as old as Renu 5 years ago. After 5 years, she will be twice as old as Renu. Renu's present age in years isa)35b)10c)20d)15Correct answer is option 'D'. Can you explain this answer?
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Renu's mother was three times as old as Renu 5 years ago. After 5 years, she will be twice as old as Renu. Renu's present age in years isa)35b)10c)20d)15Correct answer is option 'D'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Renu's mother was three times as old as Renu 5 years ago. After 5 years, she will be twice as old as Renu. Renu's present age in years isa)35b)10c)20d)15Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Renu's mother was three times as old as Renu 5 years ago. After 5 years, she will be twice as old as Renu. Renu's present age in years isa)35b)10c)20d)15Correct answer is option 'D'. Can you explain this answer?.
Renu's mother was three times as old as Renu 5 years ago. After 5 years, she will be twice as old as Renu. Renu's present age in years isa)35b)10c)20d)15Correct answer is option 'D'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Renu's mother was three times as old as Renu 5 years ago. After 5 years, she will be twice as old as Renu. Renu's present age in years isa)35b)10c)20d)15Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Renu's mother was three times as old as Renu 5 years ago. After 5 years, she will be twice as old as Renu. Renu's present age in years isa)35b)10c)20d)15Correct answer is option 'D'. Can you explain this answer?.
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