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Sandeep's age after six years will be three-seventh of his father's age. Ten years ago the ratio of their ages was 1 : 5 . What is Sandeep's father's age at present?
- a)30 years
- b)40 years
- c)50 years
- d)60 years
- e)65 years
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Sandeep's age after six years will be three-seventh of his father&...
Let the age of Sandeep and his father before 10 years be x and 5 x respectively.
Given that Sandeep's age after six years will be three-seventh of his father's age
Sandeep's father's present age
= 5 x + 10 = 5 × 8 + 10 = 50
Given that Sandeep's age after six years will be three-seventh of his father's age
Sandeep's father's present age
= 5 x + 10 = 5 × 8 + 10 = 50
Most Upvoted Answer
Sandeep's age after six years will be three-seventh of his father&...
Given:
Six years later, Sandeep's age = (3/7) x Father's age
Ten years ago, the ratio of their ages was 1:5
To Find: Father's age at present
Solution:
Let's assume Sandeep's present age as S and Father's present age as F.
According to the given conditions:
Six years later, Sandeep's age = S+6
Six years later, Father's age = F+6
Given, S+6 = (3/7) x (F+6) ----(1)
Ten years ago, Sandeep's age = S-10
Ten years ago, Father's age = F-10
Given, (S-10):(F-10) = 1:5
Solving the above equation, we get:
S - 10 = (1/6) x (F-10)
S - 10 = (F/6) - (10/6)
S - (F/6) = 5
Now we can substitute the value of S- (F/6) from equation (1),
S+6 - (F+6)/7 = 0
S - (F/7) = -8
S - (F/6) = 5
Subtracting the above two equations, we get:
(F/42) = 13
F = 546/13
F = 42
Therefore, Father's age at present is 42 years (Option C).
Hence, the correct answer is option C.
Six years later, Sandeep's age = (3/7) x Father's age
Ten years ago, the ratio of their ages was 1:5
To Find: Father's age at present
Solution:
Let's assume Sandeep's present age as S and Father's present age as F.
According to the given conditions:
Six years later, Sandeep's age = S+6
Six years later, Father's age = F+6
Given, S+6 = (3/7) x (F+6) ----(1)
Ten years ago, Sandeep's age = S-10
Ten years ago, Father's age = F-10
Given, (S-10):(F-10) = 1:5
Solving the above equation, we get:
S - 10 = (1/6) x (F-10)
S - 10 = (F/6) - (10/6)
S - (F/6) = 5
Now we can substitute the value of S- (F/6) from equation (1),
S+6 - (F+6)/7 = 0
S - (F/7) = -8
S - (F/6) = 5
Subtracting the above two equations, we get:
(F/42) = 13
F = 546/13
F = 42
Therefore, Father's age at present is 42 years (Option C).
Hence, the correct answer is option C.
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Sandeep's age after six years will be three-seventh of his father's age. Ten years ago the ratio of their ages was 1 : 5 . What is Sandeep's father's age at present?a)30 yearsb)40 yearsc)50 yearsd)60 yearse)65 yearsCorrect answer is option 'C'. Can you explain this answer?
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Sandeep's age after six years will be three-seventh of his father's age. Ten years ago the ratio of their ages was 1 : 5 . What is Sandeep's father's age at present?a)30 yearsb)40 yearsc)50 yearsd)60 yearse)65 yearsCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Sandeep's age after six years will be three-seventh of his father's age. Ten years ago the ratio of their ages was 1 : 5 . What is Sandeep's father's age at present?a)30 yearsb)40 yearsc)50 yearsd)60 yearse)65 yearsCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sandeep's age after six years will be three-seventh of his father's age. Ten years ago the ratio of their ages was 1 : 5 . What is Sandeep's father's age at present?a)30 yearsb)40 yearsc)50 yearsd)60 yearse)65 yearsCorrect answer is option 'C'. Can you explain this answer?.
Sandeep's age after six years will be three-seventh of his father's age. Ten years ago the ratio of their ages was 1 : 5 . What is Sandeep's father's age at present?a)30 yearsb)40 yearsc)50 yearsd)60 yearse)65 yearsCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Sandeep's age after six years will be three-seventh of his father's age. Ten years ago the ratio of their ages was 1 : 5 . What is Sandeep's father's age at present?a)30 yearsb)40 yearsc)50 yearsd)60 yearse)65 yearsCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sandeep's age after six years will be three-seventh of his father's age. Ten years ago the ratio of their ages was 1 : 5 . What is Sandeep's father's age at present?a)30 yearsb)40 yearsc)50 yearsd)60 yearse)65 yearsCorrect answer is option 'C'. Can you explain this answer?.
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