Question

the unit digit of a two digit number is twice it's tens digit. The number obtained by interchanging the digits exceeds the given number by 27.Findthe original number​

Answer 1

Answer:36

Step-by-step explanation:

Let the tens digit be x and the units digit be y

Original number = 10x +y

According to first condition

y = 2x -------1

According to second condition

Interchanging digits =10y+x

According to condition

10x +y +27 = 10y+x

10x - x +27 = 10y - y

9x +27b= 9y

9x - 9y = -27

9(x-y) = -27

9(x-2x) = -27 [from 1]

9x-x = -27

-x = -27/9

-x = -3

x = 3

Substitute in 1

y = 2x

y = 2×3

y = 6

Hence the number is 36