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The ratio of the present age of a man and his wife is 4:3. After 4 years the ratio will become 9:7. If at the time of marriage the ratio was 5:3. Then they married - A.8 years ago B. 12 years ago C.11 years ago D.10 years ago.?
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The ratio of the present age of a man and his wife is 4:3. After 4 yea...
Solution:

Given:

Ratio of present age of man and his wife = 4:3

Ratio after 4 years = 9:7

Ratio at the time of marriage = 5:3

We have to find when they married.

Method:

Let the present age of man and his wife be 4x and 3x respectively.

After 4 years, their age will be (4x + 4) and (3x + 4) respectively.

According to the given ratio,

(4x + 4)/(3x + 4) = 9/7

28x + 28 = 27x + 36

x = 8

Present age of man = 4x = 32

Present age of wife = 3x = 24

Age at the time of marriage:

Let the age of man and his wife at the time of marriage be 5y and 3y respectively.

According to the given ratio,

5y/3y = 4/3

y = 3

Age of man at the time of marriage = 5y = 15

Age of wife at the time of marriage = 3y = 9

Calculation:

They married x years ago.

Age of man at the time of marriage = 32 - x

Age of wife at the time of marriage = 24 - x

According to the given ratio,

(32 - x)/(24 - x) = 4/3

96 - 3x = 128 - 4x

x = 32

Therefore, they married 32 years - 24 years = 8 years ago.

Hence, the answer is option A.

Answer: A.8 years ago.
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The ratio of the present age of a man and his wife is 4:3. After 4 yea...
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The ratio of the present age of a man and his wife is 4:3. After 4 years the ratio will become 9:7. If at the time of marriage the ratio was 5:3. Then they married - A.8 years ago B. 12 years ago C.11 years ago D.10 years ago.?
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The ratio of the present age of a man and his wife is 4:3. After 4 years the ratio will become 9:7. If at the time of marriage the ratio was 5:3. Then they married - A.8 years ago B. 12 years ago C.11 years ago D.10 years ago.? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The ratio of the present age of a man and his wife is 4:3. After 4 years the ratio will become 9:7. If at the time of marriage the ratio was 5:3. Then they married - A.8 years ago B. 12 years ago C.11 years ago D.10 years ago.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of the present age of a man and his wife is 4:3. After 4 years the ratio will become 9:7. If at the time of marriage the ratio was 5:3. Then they married - A.8 years ago B. 12 years ago C.11 years ago D.10 years ago.?.
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