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The product of two successive integral multiples of 5 is 300. Determine the multiples.\xa0 |
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Answer» 15 and 20 Ans. Let First Number = 5x [because it is multiple of 5.]then Next Number = 5x + 5\xa0According to ques.5x ( 5x + 5 ) = 300=> 25x2\xa0+ 25x = 300=> 25x2 + 25x - 300 = 0divide equation by 25, we get\xa0=> x2 + x - 12 = 0=> x2\xa0+ 4x - 3x - 12 = 0=> x( x+4) - 3(x+4) = 0=> (x+4) (x-3) = 0Either (x + 4 ) = 0 or (x-3) = 0=> x = -4 or x = 3\xa0\xa0So, Multiple of 5 are : 15, 20 |
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