SOLUTION: The sum of my digits is 19. My hundreds digit is 4 less than 7. My thousands digit is the sum of 3 and 1. The other two digits are the same number. What 4-digit number am I?

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Question 661485: The sum of my digits is 19.
My hundreds digit is 4 less than 7.
My thousands digit is the sum of 3 and 1.
The other two digits are the same number.
What 4-digit number am I?

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

let 4-digit number be where , , and
The sum of my digits is .....=>...

My hundreds digit is less than ....=>...hundreds digit is ...=>...

My thousands digit is the sum of and ....=>...thousands digit is
...=>...

The other two digits are the same number...=>...

since given , plug in ,, and

,,solve for




...then.=>...


so, am I



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