Question 166641
Let x=the unknown number



Translation:


"a number is divided by 3" ----> {{{x/3}}}


"the quotient is added to 18" ---> {{{x/3+18}}} Note: the quotient the result of the division




So....



"a number is divided by 3 and then the quotient is added to 18 the result is 25"  -----> {{{x/3+18=25}}}




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Solving the equation:



{{{x/3+18=25}}} Start with the given equation.



{{{cross(3)(x/cross(3))+3(18)=3(25)}}} Multiply EVERY term by the LCD {{{3}}} to clear the fraction.



{{{x+54=75}}} Multiply.



{{{x=75-54}}} Subtract {{{54}}} from both sides.



{{{x=21}}} Combine like terms on the right side.



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Answer:


So the answer is {{{x=21}}} 




So this means that if you divide 21 by 3 you get 7. Add that to 18 and you get 25. So this satisfies the original word problem.