Answer:
The first number is 170
The second number is 171
Step-by-step explanation:
Let the first number be x^3 and the second number be x^3+1
The sum of the two is 341
X^3+x^3+1=341
2x^3+1=341
Substrate 1 from both sides
2x^3=341-1
2x^3=340
Divide both sides by 2
x^3=170
Cube root of both sides
X=5.54
The first number is x^3
Which means 5.54^3=170
The second number is x^3+1
5.54^3+1=170+1
=171
Therefore the first number is 170 and the second number is 171
