# Find the four digit numbers #abcd# that satisfy, #2(abcd)+1000=dcba#?

##### 2 Answers

#### Answer:

See below.

#### Explanation:

Number

and

and this cannot be accomplished with

#### Answer:

#### Explanation:

write:

this implies that:

We also know that:

also notice from the last expression

This limits a to be

So now let's try if

Pick

If we pick

The last digit of

We have 2 scenarios:

**Scenario** :

**Scenario**:

Therefore the answer is: