Subject
Bank Exam
Topic
Uttara Bank Limited (PO)-17.09.2021
A woman says, ''if you reverse my own age, the figure represents my husband's age. He is, of course, senior to me and the difference between our ages is one eleventh of our sum. ''What is the age of the woman?
A woman says, ''if you reverse my own age, the figure represents my husband's age. He is, of course, senior to me and the difference between our ages is one eleventh of our sum. ''What is the age of the woman?
ক)
23খ)
34গ)
45ঘ)
54Explanation
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; So, 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.Related questions
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