Question

Banno and Binod were playing a guessing game by writing clues about a secret number. Banno tried to guess Binod’s secret number.

Clues:

• It is larger than half of 100.
• More than 6 tens and less than 7 tens.
• The tens digit of the number is one more than the ones digit.
• Together the digits have a sum of 11.

Can you guess the secret number?

Answer 1

It is larger than half of 100, So number > 50

It is more than 6 tens and less than 7 tens.
So, number lies between 60 and 70

The tens digit is one more than the ones digit. Here tens digit will be 6, since the number is between 60 and 70.
So, Ones digit of the number = 6 – 1 = 5

So the number should be 65. Let's check the last clue:
Sum of the digits of the number = 6 + 5 = 11

Therefore the number is 65.