Question 373969
Let n be the number
{{{(2/3)n+10 = 3n-25}}} "Two-thirds of a number increased by 10, gives the same result as 25 subtracted from three times the number."
Multiply through by 3 to clear the fraction.
{{{2n+30 = 9n-75}}} Subtract 2n from both sides.
{{{30 = 7n-75}}} Add 75 to both sides.
{{{105 = 7n}}} Finally, divide both sides by 7.
{{{15 = n}}}
The number is 15.