Three times the first of three consective odd intergers is 3
more than
twice the third. What is the third integers?
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2
Answer:
1st odd integer = 2x + 1
2nd odd integer = 2x + 3
3rd odd integer = 2x + 5
3 (2x + 1) = 3 + 2 (2x + 5)
6x + 3 = 3 + 4x + 10
6x + 3 = 4x + 10 + 3
6x + 3 = 4x + 13
6x - 4x = 13 - 3
2x = 10
x = 10 ÷ 2
x = 5
Hence, the 3rd integer = 2x + 5
= 2 × 10 + 5
= 10 + 5
= 15
Hope it helps
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