Question

Two digit number unit digit is twice the tence digit . Then 27 added to numbers and interchanged. Find the numbers

Answer 1

Answer:

36

Step-by-step explanation:

let the digit in tens place be x

let the digit in unit place be y

the number will be 10x + y

unit digit is twice the tens digit

y = 2x

adding 27 the number gets reverse 10y + x

$10x + y + 27 = 10y + x \\ 10y + x - (10x + y) = 27 \\ 10y + x - 10x - y = 27 \\ 10y - y + x - 10 x = 27 \\ 9y - 9x = 27 \\ 9(y - x) = 27 \\ y - x = \frac{27}{9} \\ y - x = 3 \\ 2x - x = 3 \: \: \: \: \: (y = 2x) \\ x = 3 \\ y = 2x \\ y = 2 \times 3 \\ y = 6$

therefore the number is

= 10x + y

= 10(3) + 6

= 30 + 6

= 36

36+27=63

hope you get your answer