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i am a 5 digit number greater than 30000 and less than 40000, my first and last digits are same. the sum of my thousands, hundreds and tens digit is 15. my tens digit is 4 times as great as my hundred digit. what number i am?

Dear Student ,
 
Please find below the solution to the asked query :

Let the hundred digit be x .Then , Tens digit =4x .As sum of thousands , hundreds and tens digit is 15 .So,Thousands digit=15- hundreds digit + tens digit =15- x+4x=15-5xAs  number is greater than 30000 and less than 40000 . Its first and last digit are same .So,First and last digit will be 3 .Now,Number =3×10000 +  15-5x×1000  + x × 100 + 4x × 10 + 3=30000+15000-5000x+100x+40x+3=45003-4860xThis number should be greater than 30000 and less than 40000 .For x=145003-4860=40143It is greater than 40000For x=245003-48602=45003-9720=35283As 35283 is greater than 30000 and less than 40000.So, required number is 35283 . 
 
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