SOLUTION: The Sum of the digits of 3 digit number is 20. The middle digit is 1/4 of the sum of remaining two digits. If order of digits is reversed, the new number is more than earlier by 19

Question 1066540: The Sum of the digits of 3 digit number is 20. The middle digit is 1/4 of the sum of remaining two digits. If order of digits is reversed, the new number is more than earlier by 198. Find original number.

Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
100h+10t+u, the original number

System of equations literally from the description:

The first two equations of this revised system will quickly give you the tens placed digit: ......

Substitute for t=4 and revise:

Multiply this second equation by 99:

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ADD corresponding members

(Deleting earlier posted results....)

Answer by ikleyn(52780) (Show Source): You can put this solution on YOUR website!
.
.

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