1.

The product of a number and 2 more than that is 168, what are the numbers?

Answer»

\huge\underline{\underline{\bf \bigstar ANSWER \bigstar}}

LET the ONE number be X and the other number be ( x + 2 ) .

Product of these numbers = 168

\sf\Longrightarrow x(x+2) = 168 \\\\\Longrightarrow x^2+2x = 168 \\\\\Longrightarrow x^2+2x+1^2= 168 + 1^2 \ \ \ \ \ \ ( Square \ completion \ method )\\\\\Longrightarrow (x+1)^2 = 169 \\\\\Longrightarrow x+1 = \pm 13 \\\\If \ x+1 = +13 \ ,\bf { \ x = 12} \\\\\sf If \ x+1 = -13 \ , \bf \ x = -14

The numbers are 12 and 14 or -12 and -14 .

HOPE IT HELPS U ...... :)


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