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The average age of a man and his son is 54 years. The ratio of their ages is 23: 13. What will be the ratio of their ages after 6 years.
- a)10:7
- b)5:3
- c)4:3
- d)3:2
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The average age of a man and his son is 54 years. The ratio of their a...
To find the ratio of their ages after 6 years:
- Let the current ages be 23x and 13x.
avg age =sum/2
sum = avg age x 2
sum = 54x2 =108
- Their sum is 36x (23x + 13x = 36x), and this equals 108 years.
- So, 36x = 108 years, thus x = 3.
- After 6 years, their ages will be 23(3) + 6 = 75 and 13(3) + 6 = 45.
- The ratio of their ages after 6 years is 75:45, which simplifies to 5:3.
- This simplifies further to 5:3, which is the correct answer (Option B).
- Let the current ages be 23x and 13x.
avg age =sum/2
sum = avg age x 2
sum = 54x2 =108
- Their sum is 36x (23x + 13x = 36x), and this equals 108 years.
- So, 36x = 108 years, thus x = 3.
- After 6 years, their ages will be 23(3) + 6 = 75 and 13(3) + 6 = 45.
- The ratio of their ages after 6 years is 75:45, which simplifies to 5:3.
- This simplifies further to 5:3, which is the correct answer (Option B).
Most Upvoted Answer
The average age of a man and his son is 54 years. The ratio of their a...
Let the age of a man be 23x.And age of his son 13x. Now ,Average age = (23x + 13 x )/ 2 = 54 = 36 x / 2 = 54 = 18x. = 54 = x. = 54 / 18 = 3.
Present age of man = 23 x = 23 *3 = 69And present age of his son = 13x = 13* 3 = 39Then ,
After 6 years ,Age of a man = 69 + 6 = 75 years.And age of his son = 39 + 6 = 45 years
So, man. : son = 75 : 45 = 5: 3.
Present age of man = 23 x = 23 *3 = 69And present age of his son = 13x = 13* 3 = 39Then ,
After 6 years ,Age of a man = 69 + 6 = 75 years.And age of his son = 39 + 6 = 45 years
So, man. : son = 75 : 45 = 5: 3.
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Community Answer
The average age of a man and his son is 54 years. The ratio of their a...
Given:
- The average age of a man and his son is 54 years.
- The ratio of their ages is 23:13.
To find:
- The ratio of their ages after 6 years.
Solution:
Let's assume the current ages of the man and his son be 23x and 13x respectively.
As per the given condition, their sum divided by 2 is equal to 54.
Hence, (23x + 13x)/2 = 54
=> 36x = 54*2
=> 36x = 108
=> x = 3
So, the current age of the man = 23x = 23*3 = 69 years
And, the current age of his son = 13x = 13*3 = 39 years
After 6 years, their ages will be:
- Age of the man = 69 + 6 = 75 years
- Age of his son = 39 + 6 = 45 years
Therefore, the ratio of their ages after 6 years will be:
- (75:45)
- Simplifying the ratio by dividing both numbers by 15, we get:
- (5:3)
Hence, option (b) is the correct answer.
- The average age of a man and his son is 54 years.
- The ratio of their ages is 23:13.
To find:
- The ratio of their ages after 6 years.
Solution:
Let's assume the current ages of the man and his son be 23x and 13x respectively.
As per the given condition, their sum divided by 2 is equal to 54.
Hence, (23x + 13x)/2 = 54
=> 36x = 54*2
=> 36x = 108
=> x = 3
So, the current age of the man = 23x = 23*3 = 69 years
And, the current age of his son = 13x = 13*3 = 39 years
After 6 years, their ages will be:
- Age of the man = 69 + 6 = 75 years
- Age of his son = 39 + 6 = 45 years
Therefore, the ratio of their ages after 6 years will be:
- (75:45)
- Simplifying the ratio by dividing both numbers by 15, we get:
- (5:3)
Hence, option (b) is the correct answer.
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