Question

A number consists of two digits whose sum is 5. If 9 is subtracted from the number the digits are reversed. Find the number.

Answer 1

Step-by-step explanation:

x + y = 5

(10x + y) - 9 = 10y + x  (I multiplied by 10 because of place values)

10x + y - 9 = 10y + x

9x - 9y = 9

x - y = 1

So, now we know x+y = 5 and x - y = 1

x + y = 5

x - y = 1

+_________

2x = 6

x = 3

x + y = 5

3 + y = 5

y = 2

The number is 32

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