A woman says, "If you reverse the digits my age, the figures represent my husband's age. He is senior to me and the defference between our ages is one-eleventh of their sum. "What is her age now?

A woman says, "If you reverse the digits my age, the figures represent my husband's age. He is senior to me and the defference between our ages is one-eleventh of their sum. "What is her age now? Correct Answer 45 years

Let, the unit's digit of woman's age be 'y' and ten's digit be 'x' If so, the woman's age is = (10x + y) years and her husband’s age is = (10y + x) years. [Digits are reversed] ATQ, (10y + x) - (10x + y) = (10y + x) + (10x + y) (1/11) ‌‌or, 9y - 9x = (11y + 11x)/11 or, 9y - 9x = 11(y + x)/11 or, 9y - y = x + 9x or, 10x = 8y or, x = (4/5)y Clearly, y should be a single digit and multiple of 5, which is 5 [only possible value] Hence, y = 5 and x = 4 So, woman's age = (10x + y) = 45 years.
Bissoy MCQ

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council meeting, December 10-11, 2017. “We started an awareness campaign in the year 2005-2006 with H H The Dalai Lama when we learnt that tiger skins were
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