A woman says, ''if you will revise my own age, the figure represent my husband's age. He is, of course, senior to me and the difference between our ages is one-eleventh of our sum. ''What is the age of the women?
বিকল্পসমূহ (নিজের উত্তর যাচাই করতে ক্লিক করুন):
সঠিক উত্তর
2 (45)
বিস্তারিত ব্যাখ্যা ও বিশ্লেষণ:
Solution:
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.
Now
(10y + x) - (10x + y)=(1/11)(10y + x + 10x + y)
⇔(9y - 9x) = (1/11)(11y+11x)
⇔ 9y - 9x = x + y
⇔ 9y - y = 9x + x
⇔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.
