Question

Difference of two perfect cubes is 316. If the cube root

of the smaller of the two numbers is 3, then find the cube root
of the larger number.​

Answer 1

Answer:

7

Step-by-step explanation:

look... they say that the difference of 2 numbers is 316. Suppose the two numbers are A and B (because right now we don't know any of them)

A - B = 316

here A is a perfect cube and B is also perfect cube...

so... let suppose that A is the cube of a

A=a³

and B is the cube of b

B=b³

and here... it is given that b is 3 (the smaller number is 3)

So....

B = 3³ = 27

now see we said

A - B = 316

we can now write

A - 27 = 316

A = 316 + 27

A = 343

Now actually what they asked in the question is the value of a

so...

A = a³

343 = a³

take cube root both side

a = 7

so a = 7, b = 3

if you don't get it yet you can ask me again.

But if you get it then mark as brainliest!