The difference of cubes of two consecutivenumbers is 127. What are the

1.	The difference of cubes of two consecutivenumbers is 127. What are the numbers?
Answer» Lets look at the Cubes... For consecutive Cubes to have a difference of 127 the numbers(not Cube's) must be Small... but the cube of the greater number among the consecutive digits must also be greater than 127. now Keeping this in mind lets look at the cubes of some numbers which fall in this range... 5³=1256³=2167³=3438³=512 here when we check on 7³-6³ = 343-216 we get 127 as the answer... So to conclude: The required numbers are 7 and 6.

The difference of cubes of two consecutivenumbers is 127. What are the numbers?

Answer»

Lets look at the Cubes...

For consecutive Cubes to have a difference of 127 the numbers(not Cube's) must be Small...

but the cube of the greater number among the consecutive digits must also be greater than 127.

now Keeping this in mind lets look at the cubes of some numbers which fall in this range...

5³=1256³=2167³=3438³=512

here when we check on 7³-6³ = 343-216 we get 127 as the answer...

So to conclude: The required numbers are 7 and 6.