Question:
a number consists of 2 digits whose sum is 8.if 18 is added to the number, the digits are interchanged.find the number
Answer:
Let digits be x and y
Number = 10x + y
Reversed Number = 10y + x
According to question,
x + y = 8 ..............1
and
10x + y + 18 = 10y + x
=> 9x - 9y = -18
=> x - y = -2 ..........2
Adding 1 and 2
2x = 6
=> x = 6/2
=> x = 3
and y = 5
So, the number is 35
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