Question

three number are such that if the average of any two of them is added to the third number, the sum obtained are 164, 158 and 132 respectively. what is the average of the original three number?

Answer 1

let the three no's be a, b and c

now,

a+b/2+c=164

a+b+2c/2=164..(I)

similarly,

b+c/2+a=158

b+c+2a/2=158...(ii)

a+c/2+b=132

a+c+2b/2=132..(iii)

Adding I,ii and iii

4a+4b+4c/2=454

a+b+c=454×2/4=227

average of 3 original no's

a+b+c/3=227/3=75.6

I hope this helps ( ╹▽╹ )

Answer 2

let the three no's be a, b and c

now,

a+b/2+c=164

a+b+2c/2=164..(I)

similarly,

b+c/2+a=158

b+c+2a/2=158...(ii)

a+c/2+b=132

a+c+2b/2=132..(iii)

Adding I,ii and iii

4a+4b+4c/2=454

a+b+c=454×2/4=227

average of 3 original no's

a+b+c/3=227/3=75.6

I hope this helps you