The ages of Patrick and Michael are in the ratio of 3 : 5 and that of Michael and Monica are in the ratio of 3 : 5. If the sum of their ages is 245, what is the difference between the ages of Patrick and Monica? Choose the correct choice:  A) 27  B) 48  C) 80  D) 72  E) 18
Ages of P and Mi=3x:5x   Ages of Mi and Mo=3x:5x   Rationalizing their ages. ratio of their ages will be 9x:15x:25x   Sum=49x=245   x=5   Difference if ages of Pa and Mo=25x-9x=16x25 -9= 
<gadget id="calculator">25 -9</gadget>
<output>16</output>
16x=16*5= 
<gadget id="calculator">16*5</gadget>
<output>80</output>
80   Answer 80
<result>C</result>
The ages of Patrick and Michael are in the ratio of 3 : 5 and that of Michael and Monica are in the ratio of 3 : 5. If the sum of their ages is 245, what is the difference between the ages of Patrick and Monica?