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The ratio of the ages of a man and his wife is 4 : 3, After 4 years, this ratio will be 9 : 7. If at the time of marriage, the ratio was 5 : 3, then how many years ago were they married?
  • a)
    8 years 
  • b)
    10 years 
  • c)
    15 years 
  • d)
    None of These
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The ratio of the ages of a man and his wife is 4 : 3, After 4 years, t...
Suppose present age of man = 4x years
Present age of his wife = 3x years
After 4 years
4x + 4/3x + 4 = 9/7
= 28x + 28 = 27x + 36
= 28x - 27x = 36 - 28
therefore, x = 8
Present age of man = 4x
= 4 x 8 = 32 years
Present age of his wife = 3x
= 3 x 8 = 24

Suppose, they were married y years ago
According to question,
32-y/24-y = 5/3
= 96 - 3y = 120-5y
= 5y - 3y = 120-96
= 2y = 24
y = 12
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The ratio of the ages of a man and his wife is 4 : 3, After 4 years, this ratio will be 9 : 7. If at the time of marriage, the ratio was 5 : 3, then how many years ago were they married?a)8 yearsb)10 yearsc)15 yearsd)None of TheseCorrect answer is option 'C'. Can you explain this answer?
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