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ICSE Class 10 Answered

The product of two successive integeral multiples of 5 is 300.determine the multiples.
 
Asked by Dipa | 16 Jul, 2016, 06:12: PM
answered-by-expert Expert Answer
Let one number be x, so that the other number is x+5.
According to the given question,
x(x+5)=300
x2+5x-300=0
(x+20)(x-15)=300
x=-20 and x=15
x cannot be negative, since the numbers are successive integral multiples of 5.
So, x=15, and x+5=20
Hence, the multiples are 15 and 20.
Answered by Rebecca Fernandes | 16 Jul, 2016, 09:02: PM

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