Verbal Reasoning - Arithmetic Reasoning - Discussion
Discussion Forum : Arithmetic Reasoning - Section 1 (Q.No. 7)
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
Answer: Option
Explanation:
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.
Discussion:
13 comments Page 1 of 2.
Nikita said:
1 decade ago
Let x-y=x+y/11
11x-11y=x+y
10x=12y
5x=6y x:y=5:6
Womens age is multipal of 5
11x-11y=x+y
10x=12y
5x=6y x:y=5:6
Womens age is multipal of 5
Viji said:
1 decade ago
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.
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:
1 decade ago
(x-y) = 1/11(x+y).
Check which age is satisfies this equation.
Option:C.
Check which age is satisfies this equation.
Option:C.
Vaishnavi bhtanagar said:
9 years ago
Can someone explain me the last fourth line of the solution?
Suraj said:
9 years ago
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.
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.
(2)
Karhtik said:
8 years ago
Yes, you are right @Suraj.
(2)
Milan tudu said:
7 years ago
How to find this unit age for a woman?
Elsiddig said:
7 years ago
Guys, Can someone explain in details? please.
(1)
Tanuja said:
5 years ago
Someone explain it properly, please.
(2)
Hari said:
4 years ago
Thanks for explaining it clearly @Viji.
(1)
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers