Question

Two consecutive even integers add up to 1830 . What are the two numbers.

Answer 1

`2n+2n+2=1830\\4n=1828\\n=457\\\\2n=914\\2n+2=916`

914 and 916

Answer 2

914 and 916

Explanation:

let the first integer be x

The next largest consecutive even integer is hence x+2

given that the 2 integers add up to 1830,

x + (x+2) = 1830

2x + 2 = 1830

2x = 1828

x = 914

Hence the first number is 914

the second number is 914 + 2 = 916

Check Answer:

914 + 916 = 1830 (verified)