The sum of three integers A, B and C is 60. A is one third of the sum of B and C and B is one fifth of the sum of A and C. What is C? Choose the correct choice from the following options
A) 40
B) 45
C) 35
D) 50
E) 55
A is one third of the sum of B and C..   or A=1/3(B+C)...   But A+B+C=60   so 1/3(B+C)+B+C=60   4(B+C)/3= 60   B+C =60*3/4= 
<gadget id="calculator">60*3/4</gadget>
<output>45</output>
45   A=60-45= 
<gadget id="calculator">60-45</gadget>
<output>15</output>
15   2)B is one fifth of the sum of A and C   or B=1/5(A+C)...   But A+B+35=60   so 1/5(A+35)+A+35=60   A+35=60*5/6= 
<gadget id="calculator">60*5/6</gadget>
<output>50</output>
50   but A=15, so 35=50-15= 
<gadget id="calculator">50-15</gadget>
<output>35</output>
35   Answer :35
<result>C</result>
The sum of three integers A, B and C is 60. A is one third of the sum of B and C and B is one fifth of the sum of A and C. What is C?