Question : The ratio of the father's age to his son's age is 5 : 3. The product of the numbers representing their ages is 960. The ratio of their ages after 6 years will be:
Option 1: 23 : 15
Option 2: 23 : 17
Option 3: 21 : 15
Option 4: 21 : 17
New: SSC CHSL tier 1 answer key 2024 out | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 23 : 15
Solution : The ratio of the ages of father to his son = 5 : 3 Let the age of the father = $5x$ The age of the son = $3x$ Product of their ages = 960 ⇒ $(5x)(3x) = 960$ ⇒ $15x^2 = 960$ ⇒ $x^2 = 64$ ⇒ $x = 8$ So, the age of father = $5x$ = 5 × 8 = 40 years ⇒ The age of son = $3x$ = 3 × 8 = 24 years The age of father and son after 6 years will be ⇒ Father's age = 40 + 6 = 46 years ⇒ Son's age = 24 + 6 = 30 years ⇒ The ratio of the ages of father to son = Father's age : Son's age = 46 : 30 = 23 : 15 Hence, the correct answer is 23 : 15.
Candidates can download this e-book to give a boost to thier preparation.
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Question : The sum of the present ages of a father and his son is 94 years. 8 years ago their respective ages were in the ratio of 2 : 1. After 10 years what will be the ratio of ages of father and son?
Question : The current ages of Sonali and Monali are in the ratio 5 : 3. Five years from now, their ages will be in the ratio of 10 : 7. Determine Monali's current age.
Question : Directions: The present ages of father and son are in the ratio of 5:1, respectively. Seven years later this ratio becomes 3:1. What is the son's present age in years?
Question : The ratio of the ages of two boys is 5 : 6. After two years, the ratio will be 7 : 8. Determine the ratio of their ages after 12 years.
Question : Jitin's age 3 years from now will be double the average of Jitin's current age and his age 8 years ago. What was Jitin's age 5 years ago?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile