Question 897111
1. x+9 is even and 9 is odd ---> x is odd


2. x-1 is odd, so the next consecutive odd integer is x+1
next 2 consecutive even numbers: x, x+2


3. consecutive even integers: x, (x+2), (x+4), (x+6)
2x + 3(x+4) = 14 + 4(x+2)
2x + 3x+12 = 14 + 4x+8
5x + 12 = 4x + 22
x = 10


The integers are 10, 12, 14, and 16.


5. consecutive odd integers: (x-2), x, (x+2)


(x-2) + 3(x+2) = 5x - 5
x-2 + 3x+6 = 5x - 5
4x + 4 = 5x - 5
9 = x


The youngest sibling is 7, the middle sibling is 9, and the oldest sibling is 11.