The LCM and HCF of two numbers are 60 and 2 respectively. Find the larger of the two numbers if their sum is 22.	Choose the correct option:
A) 12 B) 2 C) 4 D) 54 E) 56
There are 2 approaches in solving this.   Methode 1.   HCF * LCM = The Actual Number.   60* 2= 
<gadget id="calculator">60* 2</gadget>
<output>120</output>
120   So the answer which we are looking for has to be a factor of 120.   So among the options shortlist the answers by eliminating those numbers which is not divisible by 120. and then take the highest number as the answer as the question asks abt the highest number.   answer is 12
<result>A</result>
The LCM and HCF of two numbers are 60 and 2 respectively. Find the larger of the two numbers if their sum is 22.