Question

the sum of the digits of a 2 digit . 14 if the digit are reverse the number increases by 36 find the number​

Answer 1

Step-by-step explanation:

hope this helps you understand

Answer 2

Answer:

The Original Number is 59

Step-by-step explanation:

Let x = the 10's digit

Let y = the units

10x + y = the original two digit number

The sum of the digits of a two-digit number is 14.

x + y = 14

If the digits are reversed, the number is 36 more than the original number.

Rev no. = orig no. + 36

10y + x = 10x + y + 36

10y - y = 10x - x + 36

9y = 9x + 36

simplify, divide by 9

y = x + 4

In the sum equation replace y with (x+4)

x + x + 4 = 14

2x = 14 - 4

2x = 10

x = 5

So, obviously y = 9

59 is the original number

Check solution in the statement:

"If the digits are reversed, the number is 36 more than the original number."

95= 59 + 36