A two digit number is 4 times the sum of its digit and twice the product of the digits find the number.
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Solution
two digits, x & y 10x + y = the number : A two digit number is 4 times the sum of its digits 10x + y = 4(x+y) 10x + y = 4x + 4y 10x - 4x = 4y - y 6x = 3y divide both sides by 3 2x = y " and twice the product of its digit." 10x + y = 2xy Replace y with 2x 10x + 2x = 2*x*2x 12x = 4x^2 Divide both sides by 4x 3 = x then y = 2(3) y = 6 : the number = 36 : You can confirm this in both statement: 36 = 4(3+6) and 36 = 2(3*6)