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)
Fegor said:
3 years ago
I don't understand this question. Please anyone explain me.
(2)
Hunde Namomsa said:
4 years ago
Thanks for the answer.
(1)
Hari said:
4 years ago
Thanks for explaining it clearly @Viji.
(1)
Tanuja said:
5 years ago
Someone explain it properly, please.
(2)
Elsiddig said:
7 years ago
Guys, Can someone explain in details? please.
(1)
Milan tudu said:
7 years ago
How to find this unit age for a woman?
Karhtik said:
8 years ago
Yes, you are right @Suraj.
(2)
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)
Vaishnavi bhtanagar said:
9 years ago
Can someone explain me the last fourth line of the solution?
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