Question

The sum of the digits of a two-digit number is 10. The number got by interchanging the digits is 36 less than the original number. Find the number.​

Answer 1

Answer:

The answer is 73.

Step-by-step explanation:

As the digits have sum 10 and if interchanged then 36 less than original number

Answer 2

Answer:

Let the tens digit of the required number be x and the units digit be y. Then,

x+y=12

Required Number = (10x+y).

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

Therefore,

(10y+x)−(10x+y)=18

9y−9x=18

y−x=2

On adding (1) and2), we get,

2y=14⟹y=7

Therefore,

x=5

Hence, the required number is 57.

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