The sum of four consecutive odd numbers is 128.find the numbers
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Answer:
let the number be=X
so,four conservative odd number is X,(X+2),(X+4),(X+6).
X+X+2+X+4+X+6=28
4X +12=128
4x=128-12
X=116/4
X=29,X+2=31,X+4=33andx+6=35
Answered by
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Step-by-step explanation:
Let four consecutive odd numbers be 2x + 1, 2x + 3, 2x + 5 and 2x + 7.
According to the question,
(2x + 1) + (2x + 3) + (2x + 5) + (2x + 7) = 128
→ 8x + (1 + 3 + 5 + 7) = 128
→ 8x + 16 = 128
→ 8x = 128 - 16
→ 8x = 112
→ 8x = 112/8
→ x = 14
∵ 2x + 1=(2 × 14) + 1 = 29, 2x + 3=(2 × 14) + 3 = 31,
2x + 5=(2 × 14) + 5 = 33, 2x + 7= (2 × 14) + 7 = 35
Hence, the rewritten numbers are 29, 31, 33 and 35.
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