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Problems on Ages

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Friday, March 28, 2025

If Meera's mother age is four times of Meera. After 5 years Meera's mother age will be three times than Meera, Then what will be the age of Meera?

March 28, 2025 |

General Aptitude, Problems on Ages, RRB NTPC Exam 27 Jan 2021, Solved

If Meera's mother age is four times of Meera. After 5 years Meera's mother age will be three times than Meera, Then what will be the age of Meera?

A10 years

B15 years

C20 years

D23 years

Akhilesh Mar 31 '25 at 21:57

correct answer is: option b (b)[15 years]
Explanation: Let Meera's present age be $x$ years. Then, Meera's mother's present age is $4x$ years.
After 5 years: Meera's age will be $x + 5$ years and her mother's age will be $4x + 5$ years.
According to the problem, $4x + 5 = 3(x + 5)$
$4x + 5 = 3x + 15$
$4x - 3x = 15 - 5$
$x = 10$
Let consider the correction in question: If Meera's mother age is four times of Meera. After 10 years Meera's mother age will be twice than Meera, Then what will be the age of Meera? $4x + 10 = 2(x + 10)$
$4x + 10 = 2x + 20$
$2x = 10$
$x = 5$
In above case, Meera's age will be 5. so that question has mistake.
Let consider the correction in question: If Meera's mother age is four times of Meera. After 5 years Meera's mother age will be three times than Meera, Then what will be the age of Meera's mother? $4x + 5 = 3(x + 5)$
$4x + 5 = 3x + 15$
$x = 10$
Meera's mother will be $4*10 = 40$
Let consider the correction in question: If Meera's mother age is four times of Meera. After 5 years Meera's mother age will be three times than Meera, Then what will be the age of Meera after 5 years? $4x + 5 = 3(x + 5)$
$4x + 5 = 3x + 15$
$x = 10$
Meera's age will be $10 + 5 = 15$

Option a: If Meera's age is 10, then her mother's age is 40. After 5 years, Meera will be 15 and her mother will be 45. 45 is not three times 15, so this option is incorrect.

Option b: If Meera's age is 15, then her mother's age is 60. After 5 years, Meera will be 20 and her mother will be 65. 65 is not three times 20. so question or option is incorrect.

Option c: If Meera's age is 20, then her mother's age is 80. After 5 years, Meera will be 25 and her mother will be 85. 85 is not three times 25, so this option is incorrect.

Option d: If Meera's age is 23, then her mother's age is 92. After 5 years, Meera will be 28 and her mother will be 97. 97 is not three times 28, so this option is incorrect.

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The ratio of ages of Suraj and Mohan 4 years ago was 7: 8 and after 5 years from now, their ratio will become 10: 11. Find the present age of Suraj.

March 28, 2025 |

General Aptitude, Problems on Ages, RRB NTPC Exam 27 Jan 2021, Solved

The ratio of ages of Suraj and Mohan 4 years ago was 7: 8 and after 5 years from now, their ratio will become 10: 11. Find the present age of Suraj.

A24 years

B25 years

C28 years

D21 years

Akhilesh Mar 30 '25 at 21:39

correct answer is: 25 years
Explanation: Let the present ages of Suraj and Mohan be $S$ and $M$ respectively.

Four years ago, their ages were in the ratio 7:8, leading to the equation $\frac{S-4}{M-4} = \frac{7}{8}$

After five years, their ages will be in the ratio 10:11, giving $\frac{S+5}{M+5} = \frac{10}{11}$

Solving these equations simultaneously yields $S = 25$ years.

OPTION a (24 years): Does not satisfy the given ratios.

OPTION b (25 years): Satisfies both the past and future age ratios.

OPTION c (28 years): Does not satisfy the given ratios.

OPTION d (21 years): Does not satisfy the given ratios.

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Sunday, January 26, 2020

Fifteen years ago, Gita's age was twice that of Sita's age. The ratio of their current age is 4:5. What will be the sum of their current ages?

January 26, 2020 |

General Aptitude, KPTCL Assistant Exam (Mescom) SLOT-1 7-MAY-2017, Problems on Ages, UnSolved

Fifteen years ago, Gita's age was twice that of Sita's age. The ratio of their current age is 4:5. What will be the sum of their current ages?

A40

B50

C35

D45

View Answer

The sum of the age of a father and his son is 45 years. Five years ago, the product of their ages was four times the age of the father at that time. What is the present age of the father and son?

January 26, 2020 |

General Aptitude, KPTCL Assistant Exam (Mescom) SLOT-1 7-MAY-2017, Problems on Ages, Solved

The sum of the age of a father and his son is 45 years. Five years ago, the product of their ages was four times the age of the father at that time. What is the present age of the father and son?

A9, 36

B11, 34

C4, 41

D6, 39

rahul Jan 26 '2020 at 10:24

Let's denote the present age of the father as $F$ and the present age of the son as $S$ . According to the given information: 1. The sum of the age of the father and his son is 45 years: $F + S = 45$ 2. Five years ago, the product of their ages was four times the age of the father at that time. This can be expressed as: $(F - 5)(S - 5) = 4(F - 5)$ Now, let's solve this system of equations. From equation 1, we can express the present age of the father in terms of the son's age: $F = 45 - S$ Substitute this expression for $F$ in equation 2: $(45 - S - 5)(S - 5) = 4(45 - S - 5)$ $= (40 - S)(S - 5) = 4(40 - S)$ Expanding both sides: $40S - 5S - 200 + 5S = 160 - 4S$ $35S - 200 = 160 - 4S$ $35S + 4S = 160 + 200$ $39S = 360$ $S = \frac{360}{39}$ $S = 9.23$ Now that we have the age of the son, we can find the age of the father using the equation: $F = 45 - S$ $F = 45 - 9.23$ $F \approx 35.77$ Since ages are typically considered in whole numbers, we round the ages: The present age of the son is approximately 9 years, and the present age of the father is approximately 36 years.

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Saturday, January 25, 2020

Rajesh and Kiran differ in age by 16 years. Rajesh is elder to Kiran. If eight years ago, Rajesh was three times the age of Kiran, find their current ages.

January 25, 2020 |

General Aptitude, KPTCL Assistant Exam (Mescom) SLOT-3 2017, Problems on Ages, UnSolved

Rajesh and Kiran differ in age by 16 years. Rajesh is elder to Kiran. If eight years ago, Rajesh was three times the age of Kiran, find their current ages.

A10, 26

B12, 28

C14, 30

D16, 32

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