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A woman says, "If you reverse my own age, the figures represent my husband's age. He is, of course, senior to me and the difference between our ages is one-eleventh of their sum." The woman's age is
  • a)
    23 years
  • b)
    34 years
  • c)
    45 years
  • d)
    None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A woman says, "If you reverse my own age, the figures represent my hus...
Let x and y be the ten's and unit's digits respectively of the numeral denoting the woman's age.
Then, woman's age = (10X + y) years; husband's age = (10y + x) years.
Therefore (10y + x)- (10X + y) = (1/11) (10y + x + 10x + y)
(9y-9x) = (1/11)(11y + 11x) = (x + y) 10x = 8y x = (4/5)y
Clearly, y should be a single-digit multiple of 5, which is 5.
So, x = 4, y = 5.
Hence, woman's age = 10x + y = 45 years.
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Most Upvoted Answer
A woman says, "If you reverse my own age, the figures represent my hus...
"I am strong, confident, and capable. I believe in myself and my abilities. I will not let anyone or anything hold me back from achieving my goals. I am determined to make a difference in the world and leave a lasting impact. I am not afraid to take risks and step out of my comfort zone. I am resilient and will overcome any challenges that come my way. I am a force to be reckoned with and I will not be silenced. I will use my voice to speak up for what I believe in and fight for what is right. I am a woman, and I am powerful."
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A woman says, "If you reverse my own age, the figures represent my husband's age. He is, of course, senior to me and the difference between our ages is one-eleventh of their sum." The woman's age isa)23 yearsb)34 yearsc)45 yearsd)None of theseCorrect answer is option 'C'. Can you explain this answer?
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