find two consecutive odd numbers such that the sum of the larger number and twice the smaller number is 27 less than four times the smaller number.

Question

find two consecutive odd numbers such that the sum of the larger number and twice the smaller number is 27 less than four times the smaller number.

Answer 1

N is an odd integer

The Next Larger is N+2

 

N+2 + 2N = -27 + 4N

 

3N + 2 = 4N - 27

 

0 = 4N - 27 - 3N - 2

 

0 = N - 29

 

N = 29

 

They are 29 and 31.

 

31 + 2(29) = 4(29) - 27

 

31 + 58 = 89 = 116 - 27  yes it works