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

Question

Mathematics

Ayaan Travis

15 May, 03:31

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

+3

Answers (1)

Know the Answer?

Kaydence Bentley · 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