Class 10 Exam  >  Class 10 Questions  >  Three years ago the sum of the ages of the fa... Start Learning for Free
Three years ago the sum of the ages of the father and son was 48 years after 3 years the ratio of the ages of father and son while Be 3:1 then how much ages is father from its son ?
Most Upvoted Answer
Three years ago the sum of the ages of the father and son was 48 years...
SOLUTION :

Let the current ages of the father be F and that of the son, S.
Three years ago their ages were (F-3) and (S-3) and the sum was 48, or
F+S = 48+3+3 = 54, or
F = 54-S …(1)
(F+3) : (S+3) = 3:1, or
F+3 = 3S+9, or
F = 3S+6 …(2)
Equate (1) and (2): 54-S = 3S+6, or
4S=48, or S = 12 and So F = 42.
The father is 42 years and the son 12 years, now.

Hope ur doubt is cleared now :)
Community Answer
Three years ago the sum of the ages of the father and son was 48 years...
Given:
Three years ago, the sum of the ages of the father and son was 48 years.
After 3 years, the ratio of the father's age to the son's age will be 3:1.

To find:
How much older is the father from the son?

Solution:

Let's assume the present age of the father as F years and the present age of the son as S years.

Step 1:
Three years ago, the father's age was F-3 and the son's age was S-3.
According to the given information, the sum of their ages three years ago was 48 years.
So, we can write the equation:
(F-3) + (S-3) = 48

Simplifying the equation, we get:
F + S - 6 = 48
F + S = 48 + 6
F + S = 54

Step 2:
After 3 years, the father's age will be F+3 and the son's age will be S+3.
According to the given information, the ratio of their ages after 3 years will be 3:1.
So, we can write the equation:
(F+3) : (S+3) = 3 : 1

Cross-multiplying, we get:
(F+3) * 1 = (S+3) * 3
F + 3 = 3S + 9
F = 3S + 9 - 3
F = 3S + 6

Step 3:
Now, we have two equations:
F + S = 54 (from Step 1)
F = 3S + 6 (from Step 2)

Substituting the value of F from Step 2 into the first equation, we get:
(3S + 6) + S = 54
4S + 6 = 54
4S = 54 - 6
4S = 48
S = 48/4
S = 12

Step 4:
Substituting the value of S into the equation F = 3S + 6, we get:
F = 3(12) + 6
F = 36 + 6
F = 42

Step 5:
Now that we know the present ages of the father and son, we can find out how much older the father is from the son.
The father's age is 42 and the son's age is 12.
So, the father is 42 - 12 = 30 years older than the son.

Therefore, the father is 30 years older than the son.
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
Explore Courses for Class 10 exam

Top Courses for Class 10

Three years ago the sum of the ages of the father and son was 48 years after 3 years the ratio of the ages of father and son while Be 3:1 then how much ages is father from its son ?
Question Description
Three years ago the sum of the ages of the father and son was 48 years after 3 years the ratio of the ages of father and son while Be 3:1 then how much ages is father from its son ? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Three years ago the sum of the ages of the father and son was 48 years after 3 years the ratio of the ages of father and son while Be 3:1 then how much ages is father from its son ? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three years ago the sum of the ages of the father and son was 48 years after 3 years the ratio of the ages of father and son while Be 3:1 then how much ages is father from its son ?.
Solutions for Three years ago the sum of the ages of the father and son was 48 years after 3 years the ratio of the ages of father and son while Be 3:1 then how much ages is father from its son ? in English & in Hindi are available as part of our courses for Class 10. Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of Three years ago the sum of the ages of the father and son was 48 years after 3 years the ratio of the ages of father and son while Be 3:1 then how much ages is father from its son ? defined & explained in the simplest way possible. Besides giving the explanation of Three years ago the sum of the ages of the father and son was 48 years after 3 years the ratio of the ages of father and son while Be 3:1 then how much ages is father from its son ?, a detailed solution for Three years ago the sum of the ages of the father and son was 48 years after 3 years the ratio of the ages of father and son while Be 3:1 then how much ages is father from its son ? has been provided alongside types of Three years ago the sum of the ages of the father and son was 48 years after 3 years the ratio of the ages of father and son while Be 3:1 then how much ages is father from its son ? theory, EduRev gives you an ample number of questions to practice Three years ago the sum of the ages of the father and son was 48 years after 3 years the ratio of the ages of father and son while Be 3:1 then how much ages is father from its son ? tests, examples and also practice Class 10 tests.
Explore Courses for Class 10 exam

Top Courses for Class 10

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev