zina has written down four natural numbers in column she chose three of these number at a time such that all number had equalchancesof getting added each triple she came up with sums 186, 206 , 215 and 194 select the largest number that zeena has written ?
Answers
Given : zina has written down four natural numbers in column she chose three of these number at a time such that all number had equal chances of getting added each triple she came up with sums 186, 206 , 215 and 194
To Find: the largest number that zeena has written
Solution:
4 natural numbers
a , b , c and d
a + b + c = 186
a + b + d = 206
a + c + d = 215
b + c + d = 194
Adding all
3(a + b + c + d) = 186 + 206 + 215 + 194
=> a + b + c + d = 801/3
=> a + b + c + d = 267
largest number that zeena has written
= 267 - 186
= 81
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