Let A, B and C be three positive integers such.. | Quantitative Aptitude - CAT Integers
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The question below is from previous year CAT question from CAT 2020 exam comes from CAT Integers: 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
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CAT 2020 - Slot 1 - Quantitative Aptitude - Integers - Question 8 - Let A, B and C be three positive integers such
Q. 8: 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
1. 6
2. 4
3. 7
4. 5
Correct Answer: 6
Solving these two, we get b – a = 4
b = a + 4
Substituting this in the first equation
2a + a + 4 + c = 10
3a + c = 6
Given all three as positive integers, maximum value we can get for a = 1
Ex: When substituting a = 2, c = 0 (Not possible)
So a = 1, then b = 5
Sum of a + b = 6
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