try to solve this and tell.. right ans..
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I have solved the question in the picture below, Hope it helps!!
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Let :
Three consecutive odd number be
- 2x + 1
- 2x + 3
- 2x + 5
✪ 2x + 1 .....is general representation of odd number
✪ each consecutive odd number differ by 2, so next will be 2x+3 & 2x+5
Given :
3× Sum of three consecutive number = 5 + 8×(middle term)
To find :
Three consecutive odd number
Solution :
➠3× { (2x+1) + (2x+3) + (2x+5) } = 5 + 8(2x+3)
➠ 3×(6x + 9) = 5 + 16x + 25
➠ 18x + 27 = 16x + 29
➠ 18x - 16x = 29 -27
➠ 2x = 2
➠ x = 2/2 = 1
✪ First number = 2x+1
➠ First number = 2(1) + 1 = 2-1
➠ First number = 3
✪ Second number = 2x + 3
➠ Second number = 2(1) + 3 = 2+3
➠ Second number = 5
✪ Third number = 2x + 5
➠ Third number = 2(1) + 5 = 2+5
➠ Third number = 7
ANSWER :
Required number are 3 , 5 , 7
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