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Two thirds of a number is 26-26 write and solve an equation to find the number

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Q. Two thirds of a number is 26-26 write and solve an equation to find the number
  1. Define the Equation: Let's call the number we're looking for "n". The equation based on the problem is (23)n=26(\frac{2}{3})n = -26.
  2. Multiply by Reciprocal: To find nn, we need to multiply both sides of the equation by the reciprocal of 23\frac{2}{3}, which is 32\frac{3}{2}.
  3. Simplify Left Side: So, (32)×(23)n=(32)×26(\frac{3}{2}) \times (\frac{2}{3})n = (\frac{3}{2}) \times -26.
  4. Do the Multiplication: The left side simplifies to just "nn" because (32)×(23)=1(\frac{3}{2}) \times (\frac{2}{3}) = 1. On the right side, we do the multiplication.
  5. Find the Value of nn: n=(32)×26=39n = \left(\frac{3}{2}\right) \times -26 = -39.

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