SOLUTION: One fourth of a number is two more than one fifth of the number. Find the number.

Solution





Let x be the number.

One fourth of the number is then 

One fifth of the number is 



But  because 'one fourth of a number is two more'





Now solve.





First we need a common denominator.  The best we can do is 4 * 5 = 20.











Multiply both sides by 20







Add  to both sides









So the number is 40







Check Answer





One fourth of 40 is 10

One fifth of 40 is 8

10 is 2 more than 8.  Answer checks.