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If we mistakenly add numerator and denominators, we would think:
1a+1b=2a+b.\Large \dfrac{1}{a} + \dfrac{1}{b}=\dfrac{2}{a+b}.a1+b1=a+b2.
How many ordered pairs (a.b)(a.b)(a.b) in the interval −10≤a,b≤10-10\leq a,b \leq 10−10≤a,b≤10 such that they satisfy the equation above.
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