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In this kind of problem, we just make a linear equation and we will be able to find the answer. We use the art of transposing. Let the unknown number be x:

[(x added to 11)multiplied by 3] divided by 9, and then the quotient is 6. When translating it to symbols, it becomes like this:

[ ( x + 11 ) x 3 ] / 9 = 6 (multiply 9 to both sides to eliminate the "/9."

[ ( x + 11 ) x 3 ] 9/9 = 6 x 9 [ (x + 11 ) x 3 ] 1 = 54 or simply [ ( x + 11) x 3 ] = 54 ( Use the distributive property of multiplication thingy) ( x + 11 ) x 3 or ( x + 11 ) 3 or 3 ( x + 11 ) 3 ( x + 11 ) is the same as 3(x) + 3 (11) 3x + 33 = 54 3(transpose) 3x = 54 - 33 3x = 21 (Divide all sides by 3) x = 7 Check: 7, add 11, = 18 18, multiply by 3, = 54 54, divide it by 9, is it equal to 6? 54 / 9 = 6, CORRECT! Therefore the unknown number is 7.