The LCM and HCF of two numbers are 1000 and 100 respectively. Find the larger of the two numbers if their sum is 1100.	Choose the correct choice from the following answers
A) 1000
B) 10
C) 567
D) 57
E) 678
There are 2 approaches in solving this.   Methode 1.   HCF * LCM = The Actual Number.   1000* 100= 
<gadget id="calculator">1000* 100</gadget>
<output>100_000</output>
100000   So the answer which we are looking for has to be a factor of 100000.   So among the options shortlist the answers by eliminating those numbers which is not divisible by 100000. and then take the highest number as the answer as the question asks abt the highest number.   answer is 1000
<result>A</result>
The LCM and HCF of two numbers are 1000 and 100 respectively. Find the larger of the two numbers if their sum is 1100.