Question

it's a 4 digit number. its last digit is the double of first digit.its last two digits are the double of first two digits .the third and second digits are same . which is that four digit number?​

Answer 1

Answer:

Hey the answer is 4998.

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Answer 2

Answer:

Lets say the number is 10oo*a + 100*b + 10*c + d

So, we know that

1. d = 2a

2. b = c

3. c + d = 2*(a + b)

Applying 1 and 2 in 3, we get

c + 2a = 2*(a + c)

or c + 2a = 2a + 2c

or c = 0

So, b = 0 as well

Now d = 2a

Since a and d are single digits a < 10 and d< 10

Since its a 4 digit number a > 10

So, the possible integer values of a and d which satisfy d=2a are

1. a=1, d = 2

2. a=2, d= 4

3. a =3, d = 6

4. a =4, d = 8

So the 4 possible solutions are :

1002

2004

3006

and 4008