Question : The sum of the ages of the mother and her daughter is 60 years. 12 years ago, the mother was eight times as old as her daughter. How old is the daughter at present?
Option 1: 20 years
Option 2: 28 years
Option 3: 16 years
Option 4: 12 years
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
Correct Answer: 16 years
Solution :
Let the current age of the mother be $x$ and the daughter be $y$.
The sum of their current ages is $60$ years,
⇒ $x+ y = 60$...(i)
$12$ years ago, the mother was eight times as old as the daughter.
⇒ $x - 12 = 8(y - 12)$...(ii)
Solving equations (i) and (ii),
$(60 - y) - 12 = 8(y - 12)$
⇒ $48 - y = 8y - 96$
⇒ $y = \frac{48 + 96}{9} = 16$
Hence, the correct answer is 16 years.
Related Questions
Know More about
Staff Selection Commission Combined Grad ...
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
Get Updates BrochureYour Staff Selection Commission Combined Graduate Level Exam brochure has been successfully mailed to your registered email id “”.