The LCM and HCF of two numbers are 100000 and 10000 respectively. Find the larger of the two numbers if their sum is 110000.  Choose one.
A) 100000  B) 46  C) 577  D) 577  E) 767
There are 2 approaches in solving this.   Methode 1.   HCF * LCM = The Actual Number.   100000* 10000= 
<gadget id="calculator">100000* 10000</gadget>
<output>1_000_000_000</output>
1000000000   So the answer which we are looking for has to be a factor of 1000000000.   So among the options shortlist the answers by eliminating those numbers which is not divisible by 1000000000. and then take the highest number as the answer as the question asks abt the highest number.   answer is 100000
<result>A</result>
The LCM and HCF of two numbers are 100000 and 10000 respectively. Find the larger of the two numbers if their sum is 110000.