There are three positive integers If the average of any two of them is added to the third the result...........

Quantitative Aptitude (MTS) Average

There are three positive integers. If the average of any two of them is added to the third, the resulting sums are 181, 172 and 160.

The average of the given integers is:

This questions was previously asked in

SSC MTS 14th October 2021 Shift-3

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78.5

85.5

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Explanation:

Correct option 2: 85.5

Given:-
(a + b)/2+ c = 181
→ a + b + 2c=362 ...(i)
b+c+ 2a = 344 ...(II)
c + a + 2b = 320 ...(ii)
Calculation:-
Adding eq" (i), (ii), (ii)
4(a+b+c) = 1026
= a+b+c=256.5 ...(iv)
from eq" (i) - eq" (iv)
c = 105.5
from eq" (ii) eq" (iv)
a = 87.5
fro Eq" (iii) - eq" (iv)
b = 63.5
.. Average of all three = (a + b + c)/3
Average (105.5+ 87.5 63.5)/3 = 85.5
.. required average is 85.5.