find three consecutive odd number if there times their sum is 5 more than 8times the middle number.
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Step-by-step explanation:
let the three consecutive odd numbers be x+1, x+3, x+5.
Now, acc. to question
3( x+1 + x+3 + x+5) = 8(x+3) + 5
3( 3x + 9) = 8x + 24 + 5
9x + 27 = 8x + 29
9x - 8x = 29 - 27
x = 2
So the numbers are
x+1 = 2+1 = 3
x+3 = 2+3 = 5
x+5 = 2+5 = 7
i.e. 3, 5 and 7
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