Question

In a two-digit number, the units digit is two more than the tens

digit. If you add the digits together and multiply the result by 6,
you will get five less than the number with the digits reversed.
Find the original number.

Answer 1

35

Explanation:

In a two-digit number, the units digit is two more than the tens

digit.

(10x) + (x + 2)

If you add the digits together and multiply the result by 6,

you will get five less than the number with the digits reversed.

(x + (x + 2))(6) = 10(x + 2) + x - 5

(2x + 2)(6) = (10x + 20)+ x - 5

12x + 12 = 11x + 15

x = 3

Original number

(10x) + (x + 2)

(10 * 3) + (3 + 2)

30 + 5

35