Question

find two numbers whose sum is 27 and x is 182.​

Answer 1

$\: \: \: \: \huge\star\bold\red{Solution}\huge\star$

Let the first number be x then the second number will be 27−x.

$(27 - x) = 182 \\ = > 27x - x {}^{2} = 182 \\ ⇒x {}^{2} −13x−14x+182=0 \\ ⇒x(x−13)−14(x−13)=0 \\ ⇒(x−14)(x−13)=0 \\ ⇒x=14,13$

If the first number is 14, then the second number is 13 and if the first number is 13, then the second number is 14.

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