Answer:
Step-by-step explanation:
x - some integer
2x+1 - an odd integer (the smaller one)
2x+1+2=2x+3 - the next odd integer consecutive to 2x+1 (the larger)
2×(2x+1) - twice the smaller number
2x+3+2•(2x+1) -the sum of the larger number and twice the smaller number
4•(2x+1) - four times the smaller number
4•(2x+1)-27 - 27 less then four times the smaller number
2x + 3 + 2•(2x + 1) = 4•(2x + 1) - 27
2x + 3 + 4x + 2 = 8x + 4 - 27
6x + 5 = 8x - 23
-5 -5
6x = 8x - 28
-8x -8x
-2x = - 28
÷(-2) ÷(-2)
x = 14
2x+1 = 2•14 + 1 = 29
2x+3 = 2•14 + 3 = 31
Check: 31+2•29=31+58=89; 4•29-27=116-27=89
