Question

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

Answer 1

Answer:

84

Step-by-step explanation:

Let one's digit be x.

Then, ten's digit =12−x

Number =10(12−x)+x=120−10x+x=120−9x

Number obtained by reversing the digits =10(x)+12−x=12+9x

According to the given condition, we have

120−9x=12+9x+36

⇒120−12−36=9x+9x

⇒72=18x

⇒x=4

So, the number =120−9x=120−9×4=120−36=84

Hence, the required number is 84.

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Answer 2

The number is 84

Step-by-step explanation:

• Units digit = x
• Tens digit = 12 - x

Original no. =

10 (12 - x) + x

120 - 10x + x

120 - 9x

The number obtained by interchanging the digits =

10 (x ) + (12 - x)

10x + 12 - x

9x + 12

★ According to the Question :

The given number exceeds the number obtained by interchanging the digits by 36

120 - 9x = 9x + 12 + 36

120 - 9x = 9x + 48

120 - 48 = 9x + 9x

72 = 9x + 9x

72 = 18x

x = 72/18

x = 4

Units digit = 4

• Tens digit = 12 - x

12 - 4 = 8

Tens digit = 8

The number = 84

Therefore, the number is 84