In Vignesh's opinion, his weight is greater than 65 kg but less than 77 kg. His brother does not agree with Vignesh and he thinks that Vignesh's weight is greater than 63 kg but less than 72 kg. His mother's view is that his weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Vignesh?
In Vignesh's opinion, his weight is greater than 65 kg but less than 77 kg. His brother does not agree with Vignesh and he thinks that Vignesh's weight is greater than 63 kg but less than 72 kg. His mother's view is that his weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Vignesh?
The correct option is E 67
Let Vignesh's weight = x.
Then According to Vignesh, 65 < x < 77 ------------ (equation 1)
According to brother, 63 < x < 72 ------------(equation 2)
According to mother, x≤68------------(equation 3)
Given that equation 1,equation 2 and equation 3 are correct.
By combining these equations, we can write as 65<x≤68
That is x = 66 or 67 or 68
Average of different probable weights of Vignesh = (66+67+68)/3 = 67
67
Let Vignesh's weight = x.
Then According to Vignesh, 65 < x < 77 ------------ (equation 1)
According to brother, 63 < x < 72 ------------(equation 2)
According to mother, x≤68------------(equation 3)
Given that equation 1,equation 2 and equation 3 are correct.
By combining these equations, we can write as 65<x≤68
That is x = 66 or 67 or 68
Average of different probable weights of Vignesh = (66+67+68)/3 = 67
