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
New: SSC MTS 2024 Application Form OUT; Direct Link
Don't Miss: Month-wise Current Affairs | Upcoming Government Exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
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.
Application | Cutoff | Selection Process | Preparation Tips | Eligibility | Exam Pattern | Admit Card
Question : The ratio of the ages of Ram and Shyam 15 years ago was 2 : 5. The ratio of their present ages is 5 : 8. What will be the present age of Shyam (in years)?
Question : The ratio of present ages of Neelam and Rajni is 6 : 5. After six years, their ages will be in the ratio of 13 : 11. What is the present age of Rajni?
Question : Five years from now, the ratio of the ages of A, B and C will be 3 : 5 : 2. The sum of the squares of their present ages is 525. What is the present age of B?
Question : The present ages of A and B are in the ratio 3 : 5. If A's present age is 33 years, then what will be B's age (in years) after 5 years?
Question : Directions: The age of the father is twice that of the elder son. After ten years, the age of the father will be three times that of the younger son. If the difference in ages of the two sons is 15 years, the age of the father is?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile