A two digit number is four times the sum and three times the product of its digits. Find the number

24

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42

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36

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63

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Solution

The correct option is C $24$
$L e t t h e o r i g i n a l n u m b e r b e x = 10 a + b, 10 a + b = 4 (a + b) = 6 a - 3 b . . . (1) 10 a + b = 3 a b = 10 a + b - 3 a b = 30 a + 3 b - 9 a b . . . (2) a d d i n g (1) a n d (2), w e g e t, 36 a - 9 a b = 0, b = 4, a = 2, x = 24$

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