Question

1274 people work at three departments of a factory. The second department employs 70 people more than the first one and the third department employs 84 more workers than the second one. How many people work in each department?

Answer 1

350, 420 and 504

Explanation:

Ur welcome

Answer 2

There 350, 420 and 504 people work at first, second and third department respectively.

Explanation

Suppose, the number of employees in the first department is
`x`

The second department employs 70 people more than the first one. So, the number of employees in the second department
`=x+70`

The third department employs 84 more workers than the second one. So, the number of employees in the third department
`=(x+70)+84=x+154`

Given that, total 1274 people work at three departments. So the equation will be .......

`x+(x+70)+(x+154)= 1274\\ \\ 3x+224=1274\\ \\ 3x=1274-224=1050\\ \\ x=(1050)/(3)=350`

So, the number of people in first department is 350, in second department = (350+70) = 420 and in third department = (350+154) = 504