Question

The product of two successive mulitples of 5 is 300. What are the values of these mulitples

Answer 1

$The\ main\ numbers\ are\ two\ successive\ multiples\ of\ 5.\\\\Product \ of\ these\ multiples\ is\ 300.\\\\Let\, the\ first\ multiple = x\\So,\ the\ second \ multiple\ will\ be = x+5\\\\x * (x+5) = 300x^2+5x = 300\\x^2+5x-300 = 0\\(x-15) (x+20) = 0 \\\\x-15 = 0\\x = 15\\\\x+20 = 0\\x = -20\\\\ the\ 15\ as\ the\ value\ of\ x\\The\ first\ multiple = 15\\The\ second \multiple = 15+5 = 20\\For\, the\ -20\ as\ the\ value\ of \ x \\The\ first\ multiple = -20 \\\\ 2nd \ multiple = -15$

Answer :  the multiples are 15 and 20 or -15 and -20.

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