A two digit number is 4 times the sum of its digit and twice the product of the digit .find the number
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Solution
let the digits be x and y let x is in the tens place then it sill become 10x let y is in once place the it will become 1y the original number be 10x+y from the question 10x+y=4(x+y) 10x+y=4x+4y 10x-4x+y-4y=0 6x-3y=0 2x-y=0 2x=y. eq-1 again according to question 10x+y=2(xy) substitute y=2x 10x+2x=2x(2x) 12x/2x=2x 6=2x x=3 if x=3 then y=? 2x=y y=6 the number is 36