The HCF and LCM of two positive integers are 30 and 900 respectively. If the difference of the two numbers is 30, then the larger of the two numbers is:
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HCF×LCM=multiplication of two given integers
30×900=multiplication of two given integers
27000=multiplication of two given integers...(1)
Let the two integers be x and 30+x
27000=x•30+x
27000=30x+x²
x²+30x+27000=0
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