Find the number of medals for each country.

Question

The total number of medals won by athletes in each of the countries​ A, B,​ C, and D are four consecutive integers whose sum is 82. Find the number of medals for each country.

Answer 1

x + 2x + 3x + 4x = 82

Collect Like Terms

Division Property of an Equality; Isolates Variable to solve for x

Then, substitute in the value of x for each variable; multiply variable value of x by each co-efficient.

Result 8.2 + 16.4 + 24.6 + 32.8 = 82

Each country cannot have part of a medal, so use rounding

Country A: 8

Country B: 16

Country C: 25

Country D: 33

Answer 2

Same as my last solution yet the sum is now 85

n + n + 1 + n + 2 + n + 3 = 82

Can you solve for n and answer?