the sum of a number of two digits and of the number formed by reversing the digits is 110 and the difference of the digits is 6. find the number
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Answer:
82 or 28
Step-by-step explanation:
let the number be x & y
according to question
(10x+y) + (10y+x) = 110
=> 11x + 11y = 110
=> x + y = 10........1
also,
x-y = 6
=> x = y+6
putting value of x in equation 1
we get,
(y+6) +y = 10
=> 2y = 10-6 = 4
=> y = 4/2
=> y = 2
so x = 6+y
=> x = 6+2
=> x=8
so the number could be
(10x+y) = 82......or.......(10y+x) = 28
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