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Answer:

Sum of the digits of a two-digit number is 12. The given number exceeds the number obtained by interchanging the digits by 36. Find the given

number.

The tens digit of the required number be x

and the units digit be y

x + y = 12 ......... eq. (1)

Required number = (10x + y)

Number obtained on reversing the digits = (10y + x)

(10y + x) - (10x + y) = 18

9y - 9x = 18

x - y = 12 ......... eq. (2)<br>

On adding eq. (1) and eq. (2)

x + y + y - x = 12 +2

2y = 14

y = 2

x = 5

Hence, the required number is 57

409

Livingston

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