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1953 AMC 12 Question 24

AMC12 · 1953 AMC 12

Question 24

If $a,$ $b$ and $c$ are positive integers less than $10,$ then $(10a+b)(10a+c)$ equals $100a(a+1)+bc$ if:
  1. $b+c=10$
  2. $b=c$
  3. $a+b=10$
  4. $a=b$
  5. $a+b+c=10$