Question

a number consists of two digits whose sum is 10 if 18is added to the number then digits change their places find the number

Answer 1

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Let digits be x and y
Number = 10x+y
Reversed Number = 10y+x
As per ques.
x+y = 8 --- (i)
10x+y +18 = 10y+x
=> 9x-9y = -18
=> x-y = -2 ----(ii)
Adding (i) and (ii)
2x =6
x=3
so y =5
so number is 35

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