Question

A number of two digits is six times the sum of its digits and if 9 is subtracted from it,its digits will be reversed

Answer 1

10t + u = 6(t + u)

10t + u = 6t + 6u

4t = 5u

4t - 5u = 0

10t + u - 9 = 10u + t

9t - 9u = 9

t - u = 1

4t - 5u = 0----> 4t - 5u = 0

t - u = 1------->-4t + 4u = -4

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-u = -4, so u = 4 and t = 5

The number is 54.

54 = 6(5 + 4) = 5(9)

54 - 9 = 45