Question

three numbers are such that if the average of any two of them is added to the third number the sum obtained are 168 174 180 respectively what is the average of the original three numbers​

Answer 1

Answer:

Average of 3 original numbers is 87

Step-by-step explanation:

Let consider 3 original no as a, b, c

Given that average of any 2 nos + third no is 168,174,180

1) (a+b) /2+c=168 solving we get

(a+b+2c) /2=168..(1)

Similarly

2) (b+c) /2+a=174

(2a+b+c) /2=174..(2)

3) (a+c) /2+b=180

(a+2b+c) /2=180..(3)

Adding eqn (1) +(2) +(3)

(4a+4b+4c) /2=522

Solving we get

(a+b+c) =261

Average of three nos is

(a+b+c) /3=261/3=87

Answer 2

Step-by-step explanation:

6 difference between every number

center value is average and divide it by 2

and keep 87 as average 87-6 and 87+6 and add every two numbers .

so average is 87.