Challenge you cannot do this. A two digit number is less than 20. The sum of the digits is double that of their product what is the number?
Answers
Answered by
2
Let the numbers be x and y.
x+y = 2xy
x(2y-1) = y
x = y/(2y-1). Here if y=1, x=1.
Thus the number = 11.
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ganpat772076:
You know there's one more easy way to find this because any two digit number smaller than 20 should start with 1 but anyway you answered the question
Answered by
3
Let the numbers be x and y.
According to given question,
x+y = 2xy
y = 2xy-x
y = x(2y-1)
x = y/(2y-1).
if y=1, x=1
as 1 = 2(1)-1/1
1 = 2-1/1
1 = 1/1
1 = 1
This is the only condition which satisfy the LHS AND RHS.
Thus the number = 11.
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