If-abc-cba-def-and-a-c-2-9-Then-find-def-fed-

Question Number 156462 by MathSh last updated on 11/Oct/21

If \overset{―}{abc} = \overset{―}{cba} + \overset{―}{def} and a \in {c + 2; \dots; 9}

Then find \overset{―}{def} + \overset{―}{fed}

Answered by Rasheed.Sindhi last updated on 11/Oct/21

let c = 1 \Rightarrow a \in {3, 4, \dots, 9}

a = 3 :

\overset{―}{3 b 1} = \overset{―}{1 b 3} + \overset{―}{def}

\overset{―}{def} = \overset{―}{3 b 1} - \overset{―}{1 b 3} = 301 - 103 = 198

\overset{―}{def} = 198 \Rightarrow \overset{―}{fed} = 891

\overset{―}{def} + \overset{―}{fed} = 198 + 891 = 1089

Commented by MathSh last updated on 11/Oct/21

Yes, thank you dear S er, similary

297 \to 792; 396 \to 693; 495 \to 594 \dots

Commented by Rasheed.Sindhi last updated on 11/Oct/21

Of course! we can show that, in general

way also .

Commented by MathSh last updated on 11/Oct/21

Yes my dear S er, thank you so much

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