Consider a two-digit number. If the digits of this number are interchanged, the new number obtained is lesser than the original number by 18. If the sum of the digits of the number is 12, then find the original number.
A84
B75 ✓ Correct
C57
D48
Correct answer: (B) 75
Explanation
The original number is 75.
Let it be 10a + b, swapped = 10b + a.
(10a + b) - (10b + a) = 9(a - b) = 18, so a - b = 2.
Given a + b = 12.
a = 7, b = 5, number = 75.
Want more like this? Create a free account to practise a full test, track your progress, and get spaced-repetition review.
Practise on Mcqkart →🎓 Book an expert →