Ratio of weight of A and B is 7/2 If the weight of A were 2 kg less, the ratio would have been 7/6. What is the present weight of ‘A’?

A 3

B 2

C 5

D 1

E 7

Solution

Correct Answer: Option A

From question,

\(\Rightarrow {A \over B} = {7 \over 2}\)  ____________(1)

\(\Rightarrow {{A - 2} \over B} = {7 \over 6}\)

6A – 12 = 7B                                     ____________(2)

Substitute from (1)

\(\Rightarrow 6A-12 = 7 \times {{2A} \over 7}\)

⇒ (6-2) A = 12

⇒ 4A = 12

⇒ A = 3

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