Question

The lcm of two number is 24 . Their sum is 14 .What is the number?

Answer 1

let one number be X and the other number be (14 - x)

then, LCM = X × (14 - x)
=>
$24 = 14x - x { }^{2}$
=>
$x {}^{2} - 14x + 24 = 0$
=>
$x {}^{2} - 12x - 2x + 24 = 0$
=>
$x(x - 12) - 2(x - 12) = 0$
=>
$(x - 12)(x - 2) = 0$

thus, x can either be 2 or 12.

hence, in this case there's is a variable answer.
the required number might be either 2 or 12 .

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