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Sagot :

Answer:

Step-by-step explanation:

i.

(10y+x) - (10x+y) = 63 ---> This subtracts the original from the number with the reversed digits, and makes it equal to 63, so the number increases by 63

y - x = 7 ---> We have to prove this is true, so put it into the original equation

y = 7 + x ---> manipulate the above equation, and substitute it into the original equation

[10 (7 + x) + x] - [10x + (7 + x)] = 63

(70 + 11x) - (11x + 7) = 63

63 = 63 ---> Solve the equation, and because it comes out to be true, you proved that y - x = 7

ii. a.

(10x + y) + (10y + x) = 99 ---> The sum of the original and reversed numbers

x + y = 9

y = 9 - x ---> substitute this into the original equation

[10x + (9 - x)] + [10 (9 - x) + x] = 99

(9x + 9) + (90 - 9x) = 99

99 = 99

ii. b.

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