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The sum of three consecutive odd numbers is 5 more than twice the next consecutive odd number. What is the highest among the four odd numbers?

Sagot :

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The sum of three consecutive odd numbers is 5 more than twice the next consecutive odd number. What is the highest among the four odd numbers?

Representation: Let x = the odd number
                          x + 2 = second odd number
                          x + 4 = third odd number
                          x + 6 = fourth odd number

Equation: x + x + 2 + x + 4 = 5 + 2(x + 6)

Solution: x + x + 2 + x + 4 = 5 + 2(x + 6)
               3x + 6 = 5 + 2x + 12
               3x + 6 = 2x + 17
              3x - 2x = 17 - 6
              x = 11; x + 2 = 13; x + 4 = 15; x + 6 = 17

Answer: The highest among the four odd numbers is 17.

Check: x + x + 2 + x + 4 = 5 + 2(x + 6)
           11 + 11 + 2 + 11 + 4 = 5 + 2(11 + 6)
           39 = 5 + 22 + 12
           39 = 39 (Equal)