Question 361883
x is the number of years.


today there are 120 enrolled in engineering.
today there are 105 enrolled in business.


annual change in engineering students is + 22 per year.


annual change in business students is - 4 per year.


your equation is:


120 + (22*x) = 2 * (105 - 4*x)


expand both sides of the equation to get:


120 + 22*x = 210 - 8*x


subtract 120 from both sides of the equation and add 8*x to both sides of the equation to get:


30*x = 90


divide both sides of the equation by 3 to get:


x = 3


this should happen in 3 years.


in 3 years there will be 120 + 66 = 186 students enrolled in engineering.


in 3 years there will be 105 - 12 = 93 students enrolled in business.


186 is equal to 2 * 93.


number of years is 3 is your answer.