If the average of three numbers is 135 and the difference between others is 25 then find the lowest number.
110
120
130
None of these
Explanation:
Average of 3 number is 135.
=> (x + y + z) / 3 = 135
Given Difference between 2 values is 25. So,
=> x = y - 25
=> z = y + 25
=> [(y-25) + y + (y+25)]/3 = 135
=> [y-25 + y + y + 25] / 3 = 135
=> 3y/3 = 135
=> y = 135
So, x = 110; y = 135; z = 160
Hence, the lowest number is 110.