(A) Let the number be $x$.According to the problem,when the number is multiplied by $15$,it increases by $196$,which means the new value is $x + 196$.

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(A) Let the number be $x$.According to the problem,when the number is multiplied by $15$,it increases by $196$,which means the new value is $x + 196$.Therefore,the equation is: $15x = x + 196$.Subtract $x$ from both sides: $14x = 196$.Divide by $14$: $x = 196 / 14$.$x = 14$.