The sum of two numbers is 15 and their geometric mean is
20% lower than their arithmetic mean. Find the numbers?  Choose the correct choice from the following answers:  A) 12,3  B) 15,3  C) 11,2  D) 11,3  E) 10,2
Sum of the two numbers is a+b=15.   their A.M = a+b / 2 and G.M = (ab)1/2   Given G.M = 20% lower than A.M   =80/100 A.M   ANSWER : A 12,3   (ab)^1/2=4/5 a+b/2 =2*15/5= 
<gadget id="calculator">2*15/5</gadget>
<output>6</output>
6 (ab)^1/2= 6   ab=36 =&gt;b=36/a   a+b=15   a+36/a=15   a2+36=15a   a2-15a+36=0   a2-3a-12a+36=0   a(a-3)-12(a-3)=0   a=12 or 3.   If a=3 and a+b=15 then b=12.   If a=12 and a+b=15 then b=3.
<result>A</result>
The sum of two numbers is 15 and their geometric mean is
20% lower than their arithmetic mean. Find the numbers?