Question 349214
"the sum of a number and 40 was 13 greater than 10 times the number" means that {{{x+40=10x+13}}}



{{{x+40=10x+13}}} Start with the given equation.



{{{x=10x+13-40}}} Subtract {{{40}}} from both sides.



{{{x-10x=13-40}}} Subtract {{{10x}}} from both sides.



{{{-9x=13-40}}} Combine like terms on the left side.



{{{-9x=-27}}} Combine like terms on the right side.



{{{x=(-27)/(-9)}}} Divide both sides by {{{-9}}} to isolate {{{x}}}.



{{{x=3}}} Reduce.



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Answer:


So the answer is {{{x=3}}} which means that the unknown number is 3.



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