Puzzler

As If You Didn't Have Anything Else To Do

Task

Find a number less than 100 that is increased by one-fifth of its value when its digits are reversed.

Solution

45 (1/5 of 45 = 9, 9 + 45 = 54)

HOW?

• If we reverse the 45 we get 54 which is 20% more then 45.
• Assume number is 10a+b
• 5(10b+a) = 6(10a+b)
• 50b+5a=60a+6b
• 44b = 55 a
• 4b=5a where both a,b is greater then 0 and less then 9
• i.e. a=4 and b=5