Verbal Reasoning - Arithmetic Reasoning - Discussion

Discussion :: Arithmetic Reasoning - Section 1 (Q.No.7)


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

Answer: Option C


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.

Nikita said: (Mar 16, 2011)  
Let x-y=x+y/11
5x=6y x:y=5:6

Womens age is multipal of 5

Viji said: (Sep 15, 2011)  
Suppose take a answer 45.

Woman age is 45 so the husband age is reverse of wife so 54. Then the difference of the two ages is 9. See the problem one eleventh of their sum so the sum of the couple is 99.

That is 1/11*99=9

Both the answers are same(9).

So we conclude the 45 is the correct answer.

Atul Bhandare said: (Sep 11, 2014)  
(x-y) = 1/11(x+y).

Check which age is satisfies this equation.

Vaishnavi Bhtanagar said: (Oct 15, 2016)  
Can someone explain me the last fourth line of the solution?

Suraj said: (Feb 9, 2017)  
If we take X=age of man; Y=age of women.

From given sentence;
(x-y) = 1/11(x+y)

Then check the above equation by putting all values of given options.
Answer is Y = 45yrs.

Karhtik said: (Jun 8, 2017)  
Yes, you are right @Suraj.

Milan Tudu said: (Feb 14, 2019)  
How to find this unit age for a woman?

Elsiddig said: (Feb 20, 2019)  
Guys, Can someone explain in details? please.

Tanuja said: (Dec 8, 2020)  
Someone explain it properly, please.

Hari said: (Oct 22, 2021)  
Thanks for explaining it clearly @Viji.

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