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 146, what is the difference between the ages of Patrick and Monica? Choices.
A) 27
B) 48
C) 45
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=47x=146   x=3   Difference if ages of Pa and Mo=25x-9x=16x25 -9= 
<gadget id="calculator">25 -9</gadget>
<output>16</output>
16x=16*3= 
<gadget id="calculator">16*3</gadget>
<output>48</output>
48   Answer 48
<result>B</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 146, what is the difference between the ages of Patrick and Monica?