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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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Most Upvoted Answer
A persons present age is two-fifth of the age of his mother. After 8 y...
Let the mother's present age be x years.
2(2x + 40) = 5(x + 8)
x = 40.
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A persons present age is two-fifth of the age of his mother. After 8 y...
Given Information:
- Present age of the person is two-fifth of the age of his mother.
- After 8 years, the person will be one-half of the age of his mother.
Let's solve the problem step by step:
Step 1: Assign Variables
Let the present age of the person be P and the present age of the mother be M.
Step 2: Translate the Given Information into Equations
- According to the first condition, P = (2/5)M
- According to the second condition, P + 8 = (1/2)(M + 8)
Step 3: Solve the Equations
Substitute the value of P from the first equation into the second equation:
(2/5)M + 8 = (1/2)(M + 8)
2M + 40 = 5M + 40
3M = 40
M = 40/3
M = 13.33 (approx.)
Step 4: Determine the Mother's Present Age
Therefore, the present age of the mother is approximately 40 years.
Conclusion:
The mother's present age is 40 years.
- Present age of the person is two-fifth of the age of his mother.
- After 8 years, the person will be one-half of the age of his mother.
Let's solve the problem step by step:
Step 1: Assign Variables
Let the present age of the person be P and the present age of the mother be M.
Step 2: Translate the Given Information into Equations
- According to the first condition, P = (2/5)M
- According to the second condition, P + 8 = (1/2)(M + 8)
Step 3: Solve the Equations
Substitute the value of P from the first equation into the second equation:
(2/5)M + 8 = (1/2)(M + 8)
2M + 40 = 5M + 40
3M = 40
M = 40/3
M = 13.33 (approx.)
Step 4: Determine the Mother's Present Age
Therefore, the present age of the mother is approximately 40 years.
Conclusion:
The mother's present age is 40 years.
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A persons 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)36 yearsc)40 yearsd)48 yearsCorrect answer is option 'C'. Can you explain this answer?
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