Question

ab=10a+b
Please answer step by step

Answer 1

Answer:

Let the two digit number be 10a+b

N = 10a+b

N' = reversed number = 10b+a

N-N' = 9(a-b)

N-N' is positive perfect cube.

∴ a>b

For 9(a-b) be perfect cube, a-b = 3

∴ b ϵ [0, 6] ⟶ 7 values

∴ a ϵ [3, 9] ⟶ 7 values

∴ Total 7 values are possible for N.

Step-by-step explanation:

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