The sum of three integers A, B and C is 180. 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? Select
A) 120  B) 125  C) 105  D) 115  E) 110
A is one third of the sum of B and C..   or A=1/3(B+C)...   But A+B+C=180.   so 1/3(B+C)+B+C=180   4(B+C)/3= 180   B+C =180*3/4= 
<gadget id="calculator">180*3/4</gadget>
<output>135</output>
135   A=180-135= 
<gadget id="calculator">180-135</gadget>
<output>45</output>
45   2)B is one fifth of the sum of A and C   or B=1/5(A+C)...   125ut A+125+C=180   so 1/5(A+C)+A+C=180   A+C=180*5/6= 
<gadget id="calculator">180*5/6</gadget>
<output>150</output>
150   but A=45, so C=150-45= 
<gadget id="calculator">150-45</gadget>
<output>105</output>
105   Answer : 125
<result>B</result>
The sum of three integers A, B and C is 180. 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?