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Question

Guess the secret number of VINOD? [ 3 marks ]
  • It is smaller than half of 100
  • It is more than 4 tens and less than 5 tens
  • The tens digit is two more than the ones digit
  • Together the digits have a sum of 6

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Solution

It is less than half of 100

We Know that half of 100 means

⇒ 100/2

⇒ 50

It is Smaller than 50 [ 1 mark ]

It is more than 4 tens and less than 5 tens
4 tens is 4 × 10 = 40
5 tens is 5 × 10 = 50
So , it is more than 40 and less than 50
Implies , the number lie between 40 and 50 [ 1 mark ]


The tens digit is two more the ones digit . Together the digit have a sum of 6.
Between 40 and 50 there is a number which tens digit is two more than the ones digit .i.e.
⇒ 42
Together the digit 42 have a sum of 6 [ 1 mark ]

⇒ 4 + 2 = 6
Therefore , our required number is 42


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