Question 15

Anand, Binoy, Chetan and Dharma together have Rs 47 with them. Anand and Binoy together have Rs 27; Chetan and Anand have Rs 25 and Dharma and Anand have Rs 23. How much money does Binoy have?

Solution

Let a,b,c and d represent the money with Anand, Binoy, Chetna and Dharma respectively.

It is given that a+b+c+d = 47 ......(I)

a+b = 27 ........(II)

a+c = 25 ........(III)

a+d = 23 ........(IV)

Adding eqn (II),(III) and (IV) and subtracting (I)

(a+b)+(a+c)+(a+d) - (a+b+c+d) = (23+25+27-47)

2a = 28 or a = 14

from eqn (II) b = 13

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