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⁞ Problems On Ages

Aptitude ➤ Problems On Ages ➤ 1
Question 11
Q11.  Present ages of Suman and Anand are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?
 

Answer :  24


Let the present ages of Suman and Anand be 5x years and 4x years respectively.
Then, (5x + 3)/(4x + 3) = 11/9
⇒ 9(5x + 3) = 11(4x + 3)
⇒ 45x + 27 = 44x + 33
⇒ 45x - 44x = 33 - 27
⇒ x = 6.

∴ Anand's present age = 4x = 24 years.
⚔ DISCUSS

Question 12
Q12.  If two times of the daughter's age in years is included to the mother's age, the total is 70 and if two times of the mother's age is included to the daughter's age, the total is 95. So the Mother's age is :
 

Answer :  40 Years


Let daughter's age = A and mother's age = B

Given: 2A + B = 70 and A + 2B = 95

Solving both, we will get B = 40.
⚔ DISCUSS

Question 13
Q13.  Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents in years ?
 

Answer :  6


Mother's age when Ayesha's brother was born = 36 years.
Father's age when Ayesha's brother was born = (38 + 4) years = 42 years.
∴ Required difference = (42 - 36) years = 6 years.
⚔ DISCUSS

Question 14
Q14.  Q is as much younger than R as he is older than T. If the sum of the ages of R and T is 50 years, what is definitely the difference between R and Q's age ?
 

Answer :  Can't be determined


Given that:
1. The difference of age b/w R and Q = The difference of age b/w Q and T.
2. Sum of age of R and T is 50 i.e. (R + T) = 50.

Question: R - Q = ?.

Explanation:

R - Q = Q - T
(R + T) = 2Q
Now given that, (R + T) = 50
So, 50 = 2Q and therefore Q = 25.
Question is (R - Q) = ?
Here we know the value(age) of Q (25), but we don't know the age of R.
Therefore, (R - Q) cannot be determined.
⚔ DISCUSS

Question 15
Q15.  0.1 decades ago, Vijaya was quadrice as old as her daughter Simran. 0.6 decades hence, Vijaya's age will beat her daughter's age by 0.9 decades. The proportion of the current ages of Vijaya and Simran is : [ 0.1 Decates =1 Year; quadrice = 4 times]
 

Answer :  13 : 4


Let, Ages of Vijaya and Simran 1 year ago was 4A and A years correspondingly.
Then, [(4A + 1) + 6] - [(A + 1) + 6] = 9
⇒ 3A = 9 ⇔ A = 3
∴ Needed Ratio = (4A + 1) : (A + 1) = 13 : 4
⚔ DISCUSS

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