Evaluate $\dfrac{(85)^{2} - (15)^{2}}{70}$.

Evaluate $\dfrac{(85)^{2} - (15)^{2}}{70}$.
  1. $100$
  2. $70$
  3. $85$
  4. $15$

Solution

Numerator $= (85-15)(85+15) = 70 \times 100$. Dividing by $70$ gives $100$.

Asked in: IMO

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