Question

the tens place digit of two digit number is twice the digit of unit place digit. the number obtained by interchanging the digits diminished the original number by 36. find the number. ​

Answer 1

Answer:

84 is the number

Step-by-step explanation:

In a two-digit number,

Let x = the 10's digit

Let y = the units

then

10x+y = the number

'ten's digit is twice the units digit."

x = 2y

The number formed by interchanging the digits is 36 less than the original number

10y + x = 10x + y - 36

10y - y = 10x - x - 36

9y = 9x - 36

Simplify, divide by 9, results

  y = x - 4

From the 1st statement; replace x with 2y

y = 2y - 4

4 = 2y - y

4 = y

then

x = 2(4)

x = 8

84 is the number: