A sum of Tk. 100 is divided among A, B and C. If A and B together receive Tk. 70, B and C together receive Tk. 50. Find the amount received by B.

A sum of Tk. 100 is divided among A, B and C. If A and B together receive Tk. 70, B and C together receive Tk. 50. Find the amount received by B. Correct Answer Tk. 20

Let the amounts received by them be A, B and C respectively. So, A + B + C = 100. Now,  A + B = 70 Again,  B + C = 50 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - So,  A + B + B + C = 70 + 50 [By addition] or,  2B + A + C = 120 or,  2B + 100 - B = 120  [A + C = 100 - B] or,  2B - B = 120 - 100 or,  B = 20 TK
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