The digits of a two-digit number sum to 8. When the digits are reversed, the resulting number is 18 less than the original number. What is the original number? 26
35
53
62

original number = 53

Step-by-step explanation:

In two digits number:

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

So,

Original number = 10x + y

Number obtained after reversing the digits = 10y + x

According to the first condition:

x + y = 8 (1)

According to the second condition:

10y + x = 10x + y - 18

10y + x - 10x - y = - 18

9y - 9x = - 18

-9(x - y) = - 18

x - y = - 18/(-9)

x - y = 2(2)

Adding equations (1) & (2), we find

x + y + x - y = 8 + 2

2x = 10

x = 10/2

x = 5

Plug x = 5 in equation (1), we find:

5 + y = 8

y = 8 - 5

y = 3

10x + y = 10*5 +3 = 50 + 3 = 53

Hence, original number = 53

4th option is correct xy=-10

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7

step-by-step explanation:

the answer would be 7