Question

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

Answer 1

Answer:

29 and 31

Step-by-step explanation:

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