# Let A, B and C be three positive integers such.. | Quantitative Aptitude - CAT Integers

## 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.  62.  43.  74.  5

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

### Past Year Question Paper & Solutions

Counselling Session
By IIM Mentor

#### Go Social with us

Inspiring Education… Assuring Success!!
Ⓒ 2020 – All Rights Are Reserved

Free Content !!!
Signup now to get the All recent CAT Exam Paper with Solution... Subscribe below with your Email ID
Free Content !!!
Signup now to get the All recent CAT Exam Paper with Solution... Subscribe below with your Email ID