AMC / AIME · Systems of Equations · AIME / USAJMO / AMO
Systems of Equations: (Proof track.) Give a complete justification. A two-digit number plus its reversal is math; its digits differ by math. F
Linear and nonlinear systems.
Try the problem
**(Proof track.)** Give a complete justification. A two-digit number plus its reversal is ; its digits differ by . Find larger digit.
Hint and answer
Concept to use
Contest systems.
Hint
Look for a symmetric identity before solving more variables than necessary.
Answer
7
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