# In City A population is 68000, decreasing at a rate of 80 per year City B having population 42000 increasing at a rate of 120 per Year. In how many years both the cities will have same population ?

City A population is 68000, decreasing at a rate of 80 per year City B having population 42000 increasing at a rate of 120 per Year. In how many years both the cities will have same population ?

City A population = 68000

Amount of decrease = 68000-80X

City B population = 42000

Amount of increase = 42000+120x

**If both cities will have same population then**

68000-80x = 42000+120x

68000-42000 = 120x+80x

26000 = 200x

x = 26000/200

**Ans = 130**

**In 130 years both cities will have same population**

## Check:

City A population = 68000-80* 130

= 68000-10400

= 57600

City B population = 42000+ 120*130

= 42000+15600

= 57600