CAT 2020 Exam Shift 1 Solved Paper

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Question : 73 of 76

Marks: +1, -0

Let

A, B

and

C

be three positive integers such that the sum of

A

and the mean of

B

and

C

is

5 .

In addition, the sum of

B

and the mean of

A

and

C

is 7 . Then the sum of

A

and

B

is

6
5
7
4

Solution:

Given

{A}, {B}

and

{C}

are positive integers such that

A+\;{B+C}/{2}=5 ⋅s(1)

B+\;{A+C}/{2}=7 ⋅s(2)

(2)

-(1) ⇒ \;{B}/{2}-\;{A}/{2}=2 ⇒ B-A=4

The least value for

{A}=1

in which case

{B}=5

.
Hence

A+B=6

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