Question

In a two digit number the unit digit is 2. The number formed by reversing the digits is 8 times of given number, find the number ?

Answer 1

Step-by-step explanation:

Let the tens digit be x.

Hence, the units digit will be 2x

Number =10×(x)+(2x)=12x

When 36 is added to the number, the new number formed =12x+36

As the digits are reversed, we can also write the new number as 10×(2x)+x=21x

Hence,

12x+36=10×(2x)+x

⇒12x+36=21x

⇒21x−12x=36

⇒9x=36

⇒x=4

Hence, the original number =12x=12×4=48

Answer 2

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SOLUTION: When the digits of a two-digit number are reversed, the new number is 36 more than the original number. The units digit is twice the tens digit.