The average of three numbers is 135. The largest number is 195 and the difference between the other two is 20. The smallest number is

Explanation

Let the three numbers be x, y and 195 Average of three numbers = 135 => Sum of three numbers = 135 × 3 = 405 Sum of other two numbers = x + y = 405 − 195 = 210-------- (i) And difference of other two numbers = x − y = 20------ (ii) Adding equations (i) and (ii), we get => 2x = 210 + 20 = 230 230 => x = 2 = 115 => y = 115 − 20 = 95 ∴ Smallest number = 95