SOLUTION: Hi In a 3 digit number, the units digit is 3 more than the tens digit, and the sum of the digitsis 11 . If the units and hundreds are reversed, the number increases by 99. Find

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Question 1182377: Hi
In a 3 digit number, the units digit is 3 more than the tens digit, and the sum of the digitsis 11 . If the units and hundreds are reversed, the number increases by 99. Find the original number.
Thanks

Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!

The number N is written “htu” and has value 100h+10t+u
The digit reversal info leads to h=t+2
You are also directly given info that tells you
u = t+3
h+t+u = 11
By substituting, this leads to:
(t+2)+t+(t+3) =11
3t + 5 = 11
t = 2 ==> u = 5, h = 4
The number is 425

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