The sum of the digits of a two-digit number is 10. If the digits are reversed, then the new number is 36 more than the original number. Identify the two-digit number
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possibility = 5.5 / 6.4 / 7.3 / 8.2 / 9.1
55 - 55 = 0 no
64 - 46 = 18 no
73 - 37 = 36 yes
answer 76
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Answer :
[ Given ]
The sum of two digit = 10
Then suppose first digit = x
And second digit = y
Then the equation found x + y = 10
Now interchanging the number is decreased by 36
(10x + y) = (10y - x) -36
Then 10x - x + y - 10y = -36
9x - 9y = -36
Then all are divided by 9
So second equation found => x - y = -4
Add first and second equation
x + y = 10
+ x - y = 4
=> 2x = 6
then x = 3
Now First equation = 3 + y = 10
y = 10-3 = 7
y =7
Then original number = (10x + y)
10 x 3 + 7
=> 37 Answer √√
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