Question

The sum of the digits of a two-digit number is 8. When 36 is subtracted from this number, its digits are reversed. Find the original number
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Answer 1

Answer:

x+y=8

36+y=8

y=28 Is the answer

Answer 2

Answer:

Let x be the first digit and y be the 2nd.

x + y = 8, right?

Now, in a two-digit number, the first digit is that digit times 10. 25 = 10(2) + 5, for example.

10y + x = 10x + y + 36. Make sense? Using algebra, we turn that into 9y - 9x = 36. We can divide all of that by 9 to get y - x = 4

x + y = 8

y - x = 4

Now, let's solve the first equation for x.

x = 8 - y

Now, we take the new "value" for x and plug it in the 2nd equation.

y - (8 - y) = 4

y - 8 + y = 4

2y = 12

y = 6

Now, we can plug 6 in for y.

x = 8 - 6

x = 2

Let's check.

2 + 6 = 8

8 = 8. Check.

62 = 26 + 36

62 = 62. Check.

Step-by-step explanation:

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