Question

Difference of the hundred`s digit and unit`s digit in a three digit number is 3. Sum of the

digits is 15 and the ten`s digit is 2. Find the number.​

Answer 1

Answer:

Let hundred digit =x

ten digit =x−1

unit digit =x−1

First form of Number =100×x+100(x−1)+x+1

=111x−9

Second form of Number =(x+1)100+x×10+x−1

=111x+99

third form of number =(x−1)100+(x+1)10+x

=111x−90

So 111x−9+111x+99+111x−90=2664

111x=2664

x=8

So the number 8×100+7×10+9

=879

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Answer 2

Answer:

825

Step-by-step explanation:

Let the unit's digit be x.

Ten's digit = 2

Hundred's digit = x+3

According to Question,

x+2+x+3 = 15

=> 2x+5 = 15

=> 2x = 15-5

=> 2x = 10

=> x = 5

Hence, the number is 825.