Arithmetic Aptitudes › Problems on Ages › Question #4431
Single Choice Not Set

QFind the ratio of the ages of a mother and daughter after five years given that their current age ratio is 9 : 5 and the product of their ages is 1125.

ID: #4431 Problems on Ages 153 views
Question Info
#4431Q ID
Not SetDifficulty
Problems on AgesTopic
Start Quiz on This Topic
 Your Answer

Choose the Best Option

Click any option to instantly check if you're correct.

  • A 1:3 ✔ ✖
  • B 2:3 ✔ ✖
  • C 3:4 ✔ ✖
  • D 5:3 ✔ ✖
Correct Answer

Explanation

M:D = 9:5
M*D = 1125

We can find the value of x by solving the second equation:

MD = 1125
M = 9x
D = 5x
9x5x = 1125
45x^2 = 1125
x^2 = 25
x = sqrt(25)
x = 5

Substituting this value back into the first equation,
 we get the ratio of their ages after five years:

M+5:D+5 = (9x+5):(5x+5) = (95+5):(55+5) = 50:30

So the ratio of their ages after five years is 5:3.

 Continue Practice
Previous Question Next Question
 Share

Share This Question

Challenge a friend or share with your study group.

 More from This Topic

Related MCQ Questions

Four years ago, the ratio of Sara's age to Vaishali's age in the future was 1:1. Currently, the ratio of their Mindy's current age is 3 times that of Cindy. Four years ago, Mindy's age was 4 times that of Cindy. What will The average of the ages of a man and his daughter is 34 years. If the respective ratio of their ages four year What is Rahul's present age if he is 15 years older than Rohan and 5 years ago, he was 3 times as old as Rohan What is the ratio of the ages of Minu and Meera after 8 years, given that their present age ratio is 4:2 and t Ten years ago, the father's age was three times the age of his son. In ten years, the father's age will be twi If one year ago, the ratio of Harry and Peter's ages was 5:6, and after 4 years, the ratio becomes 6:7, how ol The total age of Ashok, Anil, and Ajay is currently 75 years. Five years ago, the ratio of their ages was 3:4: The sum of Mary and John's ages is 65. If Mary is 25 years older than John, how old is Mary? Sam is twice as old as Mary, and Mary is half as old as John. If John is 40 years old, how old is Sam?