Answer:
914 and 916
Step-by-step 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)
[tex]2n+2n+2=1830\\4n=1828\\n=457\\\\2n=914\\2n+2=916[/tex]
914 and 916