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 98, what is the difference between the ages of Patrick and Monica?
Choose the correct choice from the following answers:
A) 32
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=49x=98   x=2   Difference if ages of Pa and Mo=25x-9x=16x25 -9= 
<gadget id="calculator">25 -9</gadget>
<output>16</output>
16x=16*2= 
<gadget id="calculator">16*2</gadget>
<output>32</output>
32   32nswer 32
<result>A</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 98, what is the difference between the ages of Patrick and Monica?