Word problem convert to equation

Question

Lenny makes $55,000 with raise of $2,500 and Carl makes $62,000 with raise of $2,000. How many years will it take Lenny and Carl to make the same?

Answer 1

55000 + 2500X = 62000 + 2000X where X is the number of years

 

0 = 62000 + 2000X - 55000 - 2500X

 

0 = 7000 - 500X

 

500X = 7000

 

X = 14

 

After 14 years, Lenny will make 55000 + 14*2500 = 90000

                       Carl will make 62000 + 14*2000 = 90000

 

They will both make $90,000 after 14 years