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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 :

First odd number: x
Second odd number:  x + 2
Third odd number: x + 4
Fourth odd number: x + 6

Equation:
(x) + (x+2) + (x+4) = 5 + 2(x+6)
3x + 6 = 5 + 2x + 12
3x + 6 = 2x + 17
3x - 2x = 17 - 6
x = 11

The four consecutive odd numbers are:
x = 11
x + 2 = 13
x + 4 = 15
x + 6 = 17

The highest among the odd numbers is 17.

Check:
11 + 13 + 15 = 5 + 2(17)
39 = 5 + 34
39 = 39