A problem of age

Level pending

Recently my mother met a women whom my mother hadn't seen for a long time.In course of conversation she said , "Do you know something very funny ? If you reverse my age,the figures represent my husbands age . He is, of course,senior to me and the difference between our age is one - eleventh of our sum." Can you find out the woman's as well as the husband's age?

Enter your answer as the sum of their ages.

72 None of these 99 100 95 98

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2 solutions

Rama Devi
May 26, 2015

The woman's age is 45 and her husband's age is 54. Therefore the sum of their ages is 99.

Moderator note:

How do you know that is true? Where is your working?

It can be determined by simple logic.

Rama Devi - 6 years ago

It can be noticed that their sum of their ages is 99 and their is difference is 9,which is equal to one-eleventh of the sum of their ages.

Rama Devi - 6 years ago

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You did not answer the question. You practically said "Hey, here's the answer because it satisfies the condition". The final answer is not any less important than its working. How did you arrived to that conclusion? If it's just simple logic, I'm sure you can write up a proper solution.

Brilliant Mathematics Staff - 6 years ago
Mohammad Saleem
Jun 1, 2015

I got the answer by noticing the fact that it said one-eleventh of our sum . Therefore, the answer must have been a multiple of 11. I didn't really solve for their ages.

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