Practice30 Create account

The digits of a two-digit number add up to 11. If the digits are swapped, the new number is 45 less than the original. What is the original number?

Competition practiceNumber System, HCF & LCM

A83
B38
C74
D92

Step-by-Step Solution

Let the number be

10 a + b . a + b = 11

and

9 (a - b) = 45

, so

a - b = 5

. Hence

a = 8, b = 3

and the number is 83

(38 = 83 - 45)

.

Answer: A) 83

Master this topic in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Number System, HCF & LCM practice questions

More Number System, HCF & LCM practice

The product of two consecutive positive integers is 156. Find the larger integer.Three consecutive odd numbers add up to 93. What is the largest of them?When a two-digit number is added to the number with its digits reversed, the total is…Which number exceeds 48 by exactly as much as it falls short of 112?A two-digit number has digits that add up to 9. When the digits are reversed, the number…