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If 5a = 6, 6b = 7, 7c = 8, 8d = 9 ………. 24t = 25, then the product abcde ….. st =

Question

If 5a = 6, 6b = 7, 7c = 8, 8d = 9 ………. 24t = 25, then the product abcde ….. st =

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Solution

The pattern in the given equations is that the coefficient of the variable is one less than the constant it equals to.

Let's solve each equation for the variable:

  1. 5a = 6 => a = 6/5 = 1.2
  2. 6b = 7 => b = 7/6 ≈ 1.167
  3. 7c = 8 => c = 8/7 ≈ 1.143
  4. 8d = 9 => d = 9/8 = 1.125
  5. ...
  6. 24t = 25 => t = 25/24 ≈ 1.042

The product abcde ….. st = a * b * c * d * ... * t

Substitute the values of a, b, c, d, ..., t into the equation:

Product = 1.2 * 1.167 * 1.143 * 1.125 * ... * 1.042

Now, you can calculate the product using a calculator.

This problem has been solved

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