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The ratio of the present age of a man and his wife is 4:3 and 4 years hence the ratio of their ages will be 9:7 If the ratio of their ages at the time of their marriage was 13:9, how many years ago were they married ?
  • a)
    4
  • b)
    8
  • c)
    6
  • d)
    9
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The ratio of the present age of a man and his wife is 4:3 and 4 years ...
Let the ages today be 4x and 3x. Ages four years from now are 4x + 4 and 3x + 4
But 4x+4:3x+4 = 9:7
So, x = 8
So, their current ages = 32 and 24
Let them be married for x years
Age at marriage = 32 - x and 24 - x
But 32 - x : 24 - x = 13: 9
So x = 6 years.
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Most Upvoted Answer
The ratio of the present age of a man and his wife is 4:3 and 4 years ...
Given:
Ratio of present age of man and wife = 4:3
Ratio after 4 years = 9:7
Ratio at the time of marriage = 13:9

To find:
How many years ago were they married?

Solution:
Let the present age of the man and wife be 4x and 3x respectively.
After 4 years, their ages will be 4x+4 and 3x+4.

According to the given ratio, we have:
(4x+4)/(3x+4) = 9/7
28x + 28 = 27x + 36
x = 8

Therefore, present age of man = 32 years
Present age of wife = 24 years

Let the number of years since their marriage be y.
According to the given ratio, we have:
(32-y)/(24-y) = 13/9
1176 - 39y = 864 - 36y
3y = 312
y = 104/3 years

Therefore, they were married 6 years ago (approximately) (Option C).

Explanation:
In order to solve the problem, we first need to find the present age of the man and wife. We can do this by using the given ratio of their ages. Let the common ratio be 4x, which means that the present age of the man is 4 times the common ratio (4*4x = 16x) and the present age of the wife is 3 times the common ratio (3*4x = 12x).

Next, we can use the given ratio after 4 years to form an equation and solve for x. Once we find x, we can find the present age of the man and wife.

Finally, we can use the given ratio at the time of their marriage to form another equation and solve for the number of years since their marriage. This will give us the answer to the question.
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The ratio of the present age of a man and his wife is 4:3 and 4 years hence the ratio of their ages will be 9:7 If the ratio of their ages at the time of their marriage was 13:9, how many years ago were they married ?a)4b)8c)6d)9Correct answer is option 'C'. Can you explain this answer?
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