The LCM and HCF of two numbers are 10000 and 1000 respectively. Find the larger of the two numbers if their sum is 11000.  Choose the most appropriate option
A) 10000  B) 562  C) 352  D) 576  E) 594
There are 2 approaches in solving this.   Methode 1.   HCF * LCM = The Actual Number.   10000* 1000= 
<gadget id="calculator">10000* 1000</gadget>
<output>10_000_000</output>
10000000   So the answer which we are looking for has to be a factor of 10000000.   So among the options shortlist the answers by eliminating those numbers which is not divisible by 10000000. and then take the highest number as the answer as the question asks abt the highest number.   answer is 10000
<result>A</result>
The LCM and HCF of two numbers are 10000 and 1000 respectively. Find the larger of the two numbers if their sum is 11000.