Question 138

In an exam the sum of the scores of A and B is 120, that of B and C is 130 and that of C and A is 140. Then the score of C is

Solution

Let scores of A, B and C are $$a,b$$ and $$c$$ respectively.

According to ques, => $$a+b=120$$ --------------(i)

$$b+c=130$$ --------------(ii)

$$c+a=140$$ --------------(iii)

Adding above equations, we get : $$2(a+b+c)=(120+130+140)$$

=> $$a+b+c=\frac{390}{2}=195$$

Substituting value from equation (i) in above equation,

=> $$120+c=195$$

=> $$c=195-120=75$$

=> Ans - (D)

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