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A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present?
  • a)
    32 years
  • b)
    36 years
  • c)
    40 years
  • d)
    48 years
Correct answer is option 'C'. Can you explain this answer?
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A person's present age is two-fifth of the age of his mother. Afte...
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A person's present age is two-fifth of the age of his mother. Afte...
To solve this problem, let's assume the present age of the person is 'x' and the present age of his mother is 'y'.

Given that "a person's present age is two-fifth of the age of his mother", we can write the equation:

x = (2/5)y ...(1)

Also given that "after 8 years, he will be one-half of the age of his mother", we can write the equation:

x + 8 = (1/2)(y + 8) ...(2)

Now, let's solve these equations to find the present age of the mother:

Simplifying equation (2), we get:

2(x + 8) = y + 8
2x + 16 = y + 8
2x - y = -8 ...(3)

Substituting the value of x from equation (1) into equation (3), we get:

2(2/5)y - y = -8
4y/5 - y = -8
(4y - 5y)/5 = -8
-y/5 = -8
y = 40

Therefore, the present age of the mother is 40 years. Hence, the correct answer is option (c) 40 years.
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A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present?a)32 yearsb)36yearsc)40 yearsd)48 yearsCorrect answer is option 'C'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present?a)32 yearsb)36yearsc)40 yearsd)48 yearsCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present?a)32 yearsb)36yearsc)40 yearsd)48 yearsCorrect answer is option 'C'. Can you explain this answer?.
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