The sum of two consecutive cube number is 341 work out the two number

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