Question : The sum of the present ages of father and son is 90 years. 10 years earlier, the ratio of their ages was 5 : 2 The present age of the father is:
Option 1: $65$ years
Option 2: $68$ years
Option 3: $60$ years
Option 4: $70$ years
Correct Answer: $60$ years
Solution :
Given: The sum of the present ages of father and son is 90 years.
Let the age of the father be $x$ and that of the son be $y$.
So, $x + y = 90$
⇒ $y = 90 - x$ -----------------------------------------(1)
10 years ago,
$ ⇒ \frac{x-10}{y-10} = \frac{5}{2}$
⇒ $2x - 20 = 5y - 50$
⇒$ 2x + 30 = 5y$
By putting the value of $y$ from (1)
⇒ $2x + 30 = 5×(90 – x)$
⇒ $2x + 30 = 450 – 5x$
⇒ $7x = 420$
⇒ $x = 60$
Hence, the correct answer is $60$ years.
Related Questions
Know More about
Staff Selection Commission Multi Tasking ...
Answer Key | Cutoff | Selection Process | Preparation Tips | Eligibility | Application | Exam Pattern
Get Updates Brochure
Your Staff Selection Commission Multi Tasking Staff Exam brochure has been successfully mailed to your registered email id “”.
Upcoming Exams
Trending Articles around SSC MTS
