Question

the sum of two consecutive positive integers is 58. find the number

Answer 1

let the consecutive no be x (x+1)
x+x+1=58
2x+1=58
2x=57
x=28.5

Answer 2

» Let's the consecutive positive number Is X and (x+1)

» according to the question :-

$= > x \times (x + 1) = 56\\ \\ = > {x}^{2} + x = 56 \\ \\ = > {x}^{2} + x - 56 = 0 \\ \\ = > {x}^{2} + 8x - 7x - 56 = 0 \\ \\ = > x(x + 8) - 7(x + 8) = 0 \\ \\ = > (x - 7)(x + 8) = 0$
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» Then

=> X = -8. __[NOT A POSSIBLE VALUE ]

OR

=> X = 7

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» THUS THE NUMBER ARE.. " 7 and 8"

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