Question

Every pair of the numbers from 1 to n is added, and there are 215
different sums. What is the value of n?

Answer 1

Every pair of the numbers from 1 to $n$ is added, and there are 215 different sums than the value of $n$ is 430.

• Given: Every pair of numbers from 1 to $n$ is added and there are 215 different sums,
• Explanation: A pair of numbers contains two numbers.
• As there are 215 different sums the value of $n$ will be equal to twice the number of different sums obtained.

• $n=215*2$                                                                                                           $n=430$          
• Thus, the value of $n$ is 430 when there are 215 different sums, when every pair of numbers from 1 to $n$ are added.