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The sum of the ages of the 4 members of Sinha family is 140 years. 5 years ago the ages of the 4 members Nishu, Vicky, Mrs Sinha and Mr Sinha were in the ratio of 2 : 3 : 7 : 8 . After how many years would Nishu be as old as the present age of his mother?
- a)10yrs
- b)17yrs
- c)30 yrs
- d)32 yrs
Correct answer is option 'C'. Can you explain this answer?
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The sum of the ages of the 4 members of Sinha family is 140 years. 5 y...
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The sum of the ages of the 4 members of Sinha family is 140 years. 5 y...
Let their ages 5 years ago be 2x, 3x, 7x and 8x. Their ages now 2x + 5, 3x + 5, 7x + 5, 8x + 5.
Or, 20x + 20 = 140 ⇒ 2Ox = 120 ⇒ x = 6
Present age o f Nishu = 2 x 6 + 5 = 17 years
Present age o f mother = 7 x 6 + 5 = 47 years
Hence, required years (47 -17) years = 30 years
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The sum of the ages of the 4 members of Sinha family is 140 years. 5 y...
Given: The sum of the ages of the 4 members of Sinha family is 140 years. 5 years ago the ages of the 4 members Nishu, Vicky, Mrs Sinha and Mr Sinha were in the ratio of 2 : 3 : 7 : 8.
Let the ages of Nishu, Vicky, Mrs Sinha, and Mr Sinha be represented by x, y, z, and w respectively.
From the given data, we have:
x + y + z + w = 140 -------(1)
And, 5 years ago, their ages were in the ratio of 2 : 3 : 7 : 8. So, we can write:
(x-5) : (y-5) : (z-5) : (w-5) = 2 : 3 : 7 : 8
Simplifying this ratio, we get:
x-5 = 2k, y-5 = 3k, z-5 = 7k, w-5 = 8k
where k is a constant.
Adding these equations, we get:
x + y + z + w - 20 = 20k
Substituting equation (1) in the above equation, we get:
140 - 20 = 20k
k = 6
Substituting the value of k in the above equations, we get:
x = 17, y = 23, z = 47, w = 53
Now, we need to find after how many years Nishu will be as old as his mother's present age.
Let N be the number of years after which Nishu will be as old as his mother's present age. Then, we can write:
x + N = z
Substituting the values of x and z, we get:
17 + N = 47
N = 30
Hence, the correct option is (c) 30 yrs.
Let the ages of Nishu, Vicky, Mrs Sinha, and Mr Sinha be represented by x, y, z, and w respectively.
From the given data, we have:
x + y + z + w = 140 -------(1)
And, 5 years ago, their ages were in the ratio of 2 : 3 : 7 : 8. So, we can write:
(x-5) : (y-5) : (z-5) : (w-5) = 2 : 3 : 7 : 8
Simplifying this ratio, we get:
x-5 = 2k, y-5 = 3k, z-5 = 7k, w-5 = 8k
where k is a constant.
Adding these equations, we get:
x + y + z + w - 20 = 20k
Substituting equation (1) in the above equation, we get:
140 - 20 = 20k
k = 6
Substituting the value of k in the above equations, we get:
x = 17, y = 23, z = 47, w = 53
Now, we need to find after how many years Nishu will be as old as his mother's present age.
Let N be the number of years after which Nishu will be as old as his mother's present age. Then, we can write:
x + N = z
Substituting the values of x and z, we get:
17 + N = 47
N = 30
Hence, the correct option is (c) 30 yrs.
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The sum of the ages of the 4 members of Sinha family is 140 years. 5 years ago the ages of the 4 members Nishu, Vicky, Mrs Sinha and Mr Sinha were in the ratio of 2 : 3 : 7 : 8 . After how many years would Nishu be as old as the present age of his mother?a)10yrsb)17yrsc)30 yrsd)32 yrsCorrect answer is option 'C'. Can you explain this answer?
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The sum of the ages of the 4 members of Sinha family is 140 years. 5 years ago the ages of the 4 members Nishu, Vicky, Mrs Sinha and Mr Sinha were in the ratio of 2 : 3 : 7 : 8 . After how many years would Nishu be as old as the present age of his mother?a)10yrsb)17yrsc)30 yrsd)32 yrsCorrect 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 The sum of the ages of the 4 members of Sinha family is 140 years. 5 years ago the ages of the 4 members Nishu, Vicky, Mrs Sinha and Mr Sinha were in the ratio of 2 : 3 : 7 : 8 . After how many years would Nishu be as old as the present age of his mother?a)10yrsb)17yrsc)30 yrsd)32 yrsCorrect 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 The sum of the ages of the 4 members of Sinha family is 140 years. 5 years ago the ages of the 4 members Nishu, Vicky, Mrs Sinha and Mr Sinha were in the ratio of 2 : 3 : 7 : 8 . After how many years would Nishu be as old as the present age of his mother?a)10yrsb)17yrsc)30 yrsd)32 yrsCorrect answer is option 'C'. Can you explain this answer?.
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