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The sum of the present ages of a father and his son is 100 years. 5 Years ago their ages was in the ratio of 2 : 1. The ratio of the age of father and son after 20 years will be
- a)15 : 13
- b)17 : 11
- c)11 : 19
- d)20 : 23
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The sum of the present ages of a father and his son is 100 years. 5 Y...
Let the present ages of father and son be x and y. given, x + y = 100
⇒ x = 100 – y ..............(i)
Five years ago, their ages was in ratio of 2 : 1
x − 5 = 2y − 10x − 5 = 2y − 10
2y − x − 5 = 0 2y − x − 5 = 0
x − 2y + 5 = 0 x − 2y + 5 = 0
putting (i) in eq. (ii)
100 − y − 2y + 5 = 0 100 − y − 2y + 5 = 0
100 − 3y + 55 = 0 100 − 3y + 55 = 0
105 = 3y 105 = 3y
y = 1053 = 35 = 105/3 = 35
putting value of y in eq. (i)(?)
x = 100 − 35 = 65x = 100 − 35 = 65
So, the ratio of present ages of father 8 son ⇒ xy = 6535 ⇒ x/y = 65/35
(x:y ⇒ 17:11)(x:y ⇒ 17:11) Hence, option (B) is correct
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Community Answer
The sum of the present ages of a father and his son is 100 years. 5 Y...
Given Information:
- Present age of father + present age of son = 100 years
- 5 years ago, their ages were in the ratio of 2 : 1
Solution:
Step 1: Find Present Ages
Let the present age of the father be F and the present age of the son be S.
According to the given information:
F + S = 100
Step 2: Solve for Present Ages
From the given information, we have:
(F - 5)/(S - 5) = 2/1
2S - 10 = F - 5
F = 2S - 5
Substitute F from equation 1:
2S - 5 + S = 100
3S = 105
S = 35
Substitute S back into equation 1:
F + 35 = 100
F = 65
Therefore, the present age of the father is 65 years and the present age of the son is 35 years.
Step 3: Find Future Ages
After 20 years, the father will be 65 + 20 = 85 years old and the son will be 35 + 20 = 55 years old.
Step 4: Find the Ratio of Future Ages
The ratio of the father's age to the son's age after 20 years is:
85/55 = 17/11
Therefore, the ratio of the father's age to the son's age after 20 years is 17 : 11.
Therefore, the correct answer is option B) 17 : 11.
- Present age of father + present age of son = 100 years
- 5 years ago, their ages were in the ratio of 2 : 1
Solution:
Step 1: Find Present Ages
Let the present age of the father be F and the present age of the son be S.
According to the given information:
F + S = 100
Step 2: Solve for Present Ages
From the given information, we have:
(F - 5)/(S - 5) = 2/1
2S - 10 = F - 5
F = 2S - 5
Substitute F from equation 1:
2S - 5 + S = 100
3S = 105
S = 35
Substitute S back into equation 1:
F + 35 = 100
F = 65
Therefore, the present age of the father is 65 years and the present age of the son is 35 years.
Step 3: Find Future Ages
After 20 years, the father will be 65 + 20 = 85 years old and the son will be 35 + 20 = 55 years old.
Step 4: Find the Ratio of Future Ages
The ratio of the father's age to the son's age after 20 years is:
85/55 = 17/11
Therefore, the ratio of the father's age to the son's age after 20 years is 17 : 11.
Therefore, the correct answer is option B) 17 : 11.
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The sum of the present ages of a father and his son is 100 years. 5 Years ago their ages was in the ratio of 2 : 1. The ratio of the age of father and son after 20 years will bea)15 : 13b)17 : 11c)11 : 19d)20 : 23Correct answer is option 'B'. Can you explain this answer? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about The sum of the present ages of a father and his son is 100 years. 5 Years ago their ages was in the ratio of 2 : 1. The ratio of the age of father and son after 20 years will bea)15 : 13b)17 : 11c)11 : 19d)20 : 23Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of the present ages of a father and his son is 100 years. 5 Years ago their ages was in the ratio of 2 : 1. The ratio of the age of father and son after 20 years will bea)15 : 13b)17 : 11c)11 : 19d)20 : 23Correct answer is option 'B'. Can you explain this answer?.
The sum of the present ages of a father and his son is 100 years. 5 Years ago their ages was in the ratio of 2 : 1. The ratio of the age of father and son after 20 years will bea)15 : 13b)17 : 11c)11 : 19d)20 : 23Correct answer is option 'B'. Can you explain this answer? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about The sum of the present ages of a father and his son is 100 years. 5 Years ago their ages was in the ratio of 2 : 1. The ratio of the age of father and son after 20 years will bea)15 : 13b)17 : 11c)11 : 19d)20 : 23Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of the present ages of a father and his son is 100 years. 5 Years ago their ages was in the ratio of 2 : 1. The ratio of the age of father and son after 20 years will bea)15 : 13b)17 : 11c)11 : 19d)20 : 23Correct answer is option 'B'. Can you explain this answer?.
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