Question

Each basket?

Answer 1

Answers:   33, 35, 37

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Explanation:

Consecutive integers are integers like 1,2,3,... or 6,7,8... so they are integers that follow one after another.

Consecutive odd integers are sequences like 3,5,7,... or 21,23,35... meaning they are odd integers following one after another as close as possible.

If x is some integer, then 2x is always even and 2x+1 is always odd

let 2x+1 be that first odd integer

adding on 2 leads to the next odd integer: (2x+1)+2 = 2x+3

adding on another 2 leads to the next one: (2x+3)+2 = 2x+5

The three expressions

2x+1

2x+3

2x+5

represents three consecutive odd integers. They must add to 105

(2x+1)+(2x+3)+(2x+5) = 105

(2x+2x+2x)+(1+3+5) = 105

6x+9 = 105

6x = 105-9

6x = 96

x = 96/6

x = 16

Meaning that

2x+1 = 2(16)+1 = 33 = first odd integer

2x+3 = 2(16)+3 = 35 = second odd integer

2x+5 = 2(16)+5 = 37 = third odd integer

As a check

33+35+37 = 105

which confirms the answer