Question 19

A and B have together three times what B and C have, while A, B, C together have thirty rupees more than that of A. If B has 5 times that of C, then A has

Solution

A+B+C = A+30 $$\Rightarrow$$ B+C = 30 -------(1)

B has 5 times more than C $$\Rightarrow$$ B = 5C -------(2)

on solving (1)&(2) B = 25, C = 5.

and given that A and B have together three times what B and C have

$$\Rightarrow$$ A+B = 3(B+C)

$$\Rightarrow$$ A+25 = 3(30)

$$\Rightarrow$$ A+25 = 90

$$\Rightarrow$$ A = 65.

so the answer is option B.

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