উত্তর সিলেক্ট করলে সঠিক ও ভুল দেখাবে।
ব্যাখ্যা ও সঠিক সমাধান
উত্তর:
45 years
Let, the unit's digit of woman's age be 'y' and ten's digit be 'x'
If so, the woman's age is = (10x + y) years and her husband’s age is = (10y + x) years. [Digits are reversed]
ATQ,
(10y + x) - (10x + y) = (10y + x) + (10x + y) (1/11)
or, 9y - 9x = (11y + 11x)/11
or, 9y - 9x = 11(y + x)/11
or, 9y - y = x + 9x
or, 10x = 8y
or, x = (4/5)y
Clearly, y should be a single digit and multiple of 5, which is 5 [only possible value]
Hence, y = 5 and x = 4
So, woman's age = (10x + y) = 45 years.