Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

General Ability

Topic

Age Problems

Question:

The sum of age of mother and daughter is 36 years. Four years ago, the product of their ages is equal to the five times of his mother's age at that time. Find the present age of mother and daughter.

Options:

39 & 13 years 

45 & 12 years 

36 & 9 years 

27 & 9 years 

Correct Answer:

27 & 9 years 

Explanation:

Let present age of mother and daughter = x and y respectively . 

ATQ,

⇒ x + y = 36  and

⇒ ( x - 4) ( y - 4 ) = 5( x - 4 )

⇒ y - 4 = 5

⇒ y = , and then x = 36 - y = 36 - 9 = 27

So, present age of mother = 27 years  and present age of daughter = 9 years