Question

the ptoduct of two consecutive numbers is 240.find the numbers.
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Answer 1

Answer:

let the numbers are X and (X+1)

therefore...

x×(X+1)=240

x^2+x-240=0

x^2+16x-15x-240=0

(X+16)(x-15)=0

X=-16. or X=15

therefore the numbers either..-16,-15.....or 15 and 16

Answer 2

Step-by-step explanation:

Let the numbers be x and x+1

ATQ

x(x+1)=240

${x}^{2} + x = 240$

${x}^{2} + x - 240 = 0$

${x}^{2} + 16x - 15x - 240 = 0$

$x(x + 16) - 15(x + 16) = 0$

$(x - 15)(x + 16) = 0$

x = 15 , -16

If x = 15 then numbers are 15 and 16

If x = -16 then numbers are -16 and-15

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