a two digit number is 4 times the sum of digit and twice the product of digits find the numbers
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Let the number be XY.
Given, 10X + Y = 4(X + Y). Y = 2X ____(1)
Also given, 10X + Y = 2XY
Substituting Y from (1),
4X^2 - 12X = 0. X(X-3) = 0.
Since 0 is not admissible, X = 3. Y = 6
Therefore, number is 36
Given, 10X + Y = 4(X + Y). Y = 2X ____(1)
Also given, 10X + Y = 2XY
Substituting Y from (1),
4X^2 - 12X = 0. X(X-3) = 0.
Since 0 is not admissible, X = 3. Y = 6
Therefore, number is 36
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