Guess the 4 Digit Car Number

Here is a riddle in 2 languages, I received the Hindi one on WhatsApp so I translated it to English for those who don’t understand the Hindi Language.


There is a 4 digit car number,
4th digit is double of 1st digit,
2nd n 3rd digits are same,
And last digits together are double of first two digits
Can you guess the car number?

Hindi Version:

Hai koi genius ..jo sahi ans de sake…???

Ek car ka number 4 digits ka hai.
4th digit,1st digit ka double hai.
2nd n 3rd digits same hai.
Aur first two digits ka double last two digits hai.
Bolo car ka kya number Hai ?????

Ans: ????


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Answer: 4998.

Explanation:

Lets assume first digit is x, then the 4th digit will be 2x.
also assume 2nd and 3rd digits are y.
then from => last two digits are double of first two digits, we can say
y(2x) = 2*(xy)
We can rewrite is as 10y + 2x = 20x + 2 y
8y = 18x
4y = 9x; => y/x = 9/4
as x and y are integers y = 9, x = 4

Hence, The car number is 4998

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