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?

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> 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?      Log On

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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) About Me  (Show Source):
You can put this solution on YOUR website!

let 4-digit number be abcd where a=thousands, b=hundreds,c=tents and d=oness
The sum of my digits is 19.....=>... a%2Bb%2Bc%2Bd=19

My hundreds digit is 4 less than 7....=>...hundreds digit is 3...=>...highlight%28b=3%29

My thousands digit is the sum of 3 and 1....=>...thousands digit is
4...=>...highlight%28a=4%29

The other two digits are the same number...=>...highlight%28c=d%29

since given a%2Bb%2Bc%2Bd=19, plug in a=4,b=3, and c=d

4%2B3%2Bd%2Bd=19,,solve for d
7%2B2d=19
2d=19-7

2d=12
highlight%28d=6%29...then.=>...highlight%28c=6%29


so, am I highlight%284366%29