Question:
A number consist of two digit and product is 30.If unit's digit is subtracted from the tens digit.1 is obtained.
Answer:
Let the first digit of the number is x
Then the second digit is 30/x
Now, according to question:
x - 30/x = 1
=> (x2 - 30)/x = 1
=> x2 - 30 = x
=> x2 - x - 30 = 0
=> x2 - 6x + 5x - 30 = 0
=> x(x - 6) + 5(x - 6) = 0
=> (x - 6)*(x + 5) = 0
=> x = 6, -5
Since digit can not be negative,
So, x = 6
Now, first digit of the number = 6
Second digit = 30/6 = 5
So, the number is 65
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