Three consecutive odd integers are such that the sum of the first and the third is 70. Find the integers.

Question

Mathematics

Macey Middleton

2 August, 22:42

Three consecutive odd integers are such that the sum of the first and the third is 70. Find the integers.

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Answers (1)

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Talia Gardner · Answer 1

3 consecutive odd integers: x+x+2+x+4

sum of first and thirst is 70:

x+x+4=70

2x+4=70

2x+4-4=70-4

2x=66

x=33

x+x+2+x+4=

33 + (33+2) + (33+4)

33+35+37

70+35

105

The sum of the three integers is 105.