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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
Correct answer is option 'B'. Can you explain this answer?
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The average age of a man and his son is 54 years. The ratio of their ...
Let their ages be 23x and 13x respectively.
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Average age is 54 years which means the sum of their ages = 108 years
i.e. 36x = 108
or x = 3
Hence their ages are 69 and 39 years respectively.
After 6 years, their ages would be 75 and 45 years
So the required ratio = 75:45 = 5:3
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The average age of a man and his son is 54 years. The ratio of their ...
Problem:
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?
Solution:
Let's assume the current ages of the man and his son as 23x and 13x respectively.
Calculating the Average Age:
The average age of the man and his son is given as 54 years. This means that the sum of their ages is equal to 54 multiplied by 2, which is 108.
So, we can write the equation as:
23x + 13x = 108
Simplifying the equation:
36x = 108
x = 108/36
x = 3
Calculating the Current Ages:
Now that we know the value of x, we can calculate the current ages of the man and his son.
Man's current age = 23x = 23 * 3 = 69 years
Son's current age = 13x = 13 * 3 = 39 years
Calculating the Ages after 6 years:
In 6 years, the man's age will be 69 + 6 = 75 years.
In 6 years, the son's age will be 39 + 6 = 45 years.
Calculating the Ratio of Ages after 6 years:
Now, we can calculate the ratio of their ages after 6 years.
Man's age after 6 years = 75
Son's age after 6 years = 45
The ratio of their ages after 6 years = 75:45
Simplifying the ratio by dividing both sides by 15:
75/15 : 45/15
5 : 3
Therefore, the ratio of their ages after 6 years is 5:3, which corresponds to option B.
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?
Solution:
Let's assume the current ages of the man and his son as 23x and 13x respectively.
Calculating the Average Age:
The average age of the man and his son is given as 54 years. This means that the sum of their ages is equal to 54 multiplied by 2, which is 108.
So, we can write the equation as:
23x + 13x = 108
Simplifying the equation:
36x = 108
x = 108/36
x = 3
Calculating the Current Ages:
Now that we know the value of x, we can calculate the current ages of the man and his son.
Man's current age = 23x = 23 * 3 = 69 years
Son's current age = 13x = 13 * 3 = 39 years
Calculating the Ages after 6 years:
In 6 years, the man's age will be 69 + 6 = 75 years.
In 6 years, the son's age will be 39 + 6 = 45 years.
Calculating the Ratio of Ages after 6 years:
Now, we can calculate the ratio of their ages after 6 years.
Man's age after 6 years = 75
Son's age after 6 years = 45
The ratio of their ages after 6 years = 75:45
Simplifying the ratio by dividing both sides by 15:
75/15 : 45/15
5 : 3
Therefore, the ratio of their ages after 6 years is 5:3, which corresponds to option B.
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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)10.7b)5.3c)4.3d)3.2Correct answer is option 'B'. Can you explain this answer?
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