Question

If form a two digit number we subtract the number formed by reversing its digits then the result so obtained is a perfect cube. how many such members are possible...
pls give me fast ans.​

Answer 1

Step-by-step explanation:

Let the tens digit be x and unit digit be y.

So the number is 10x + y

And the number formed by reversing its digits is 10y + x

Given, 10x +y - (10y + x) = a perfect cube

We assume that the perfect cube is a^3

10x + y - 10y - x = a^3

9(x -y) = a^3

3*3 * (x-y) =a^3

Hence x -y = 3

so the possible numbers are 96, 85, 74, 63, 52, 41 , 30

ANSWER: 96, 85, 74, 63, 52, 41, 30