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.
Prakash singh said:
2 years ago
Choose a random option,
Suppose 34,
So the husband's age will be 43, but as mentioned difference between our ages is one-eleventh of the sum
Means 34+43 = 77, and 77 * 1/11 = 7.
So the difference should be 7 but 43-34=9, not the ans
Now with 45,
45+54=99 and 99*1/11=9 so the difference should be 9.
54-45=9.
So the correct option is 45.
Suppose 34,
So the husband's age will be 43, but as mentioned difference between our ages is one-eleventh of the sum
Means 34+43 = 77, and 77 * 1/11 = 7.
So the difference should be 7 but 43-34=9, not the ans
Now with 45,
45+54=99 and 99*1/11=9 so the difference should be 9.
54-45=9.
So the correct option is 45.
(7)
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)
Tanuja said:
5 years ago
Someone explain it properly, please.
(2)
Fegor said:
3 years ago
I don't understand this question. Please anyone explain me.
(2)
Elsiddig said:
7 years ago
Guys, Can someone explain in details? please.
(1)
Hari said:
4 years ago
Thanks for explaining it clearly @Viji.
(1)
Hunde Namomsa said:
4 years ago
Thanks for the answer.
(1)
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.
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