Answer:
No . of people in department A = 350
No . of people in department B = 420
No . of people in department C = 504
Explanation:
Let the no . of people in department A be x
Given
Department B employs 70 people more than department A
Therefore,
no . of people in department B = x + 70
Again Given
department C employs 84 more workers than department B.
Therefore,
no . of people in department c = no . of people in department B + 84
no . of people in department c = x + 70 + 84 = x + 154
Total no. of people in all the department in terms of x = x + x+ 70+ x+154
Total no. of people in all the department in terms of x = 3x +224
Problem says
Three departments of factory employ a total of 1274 people
Therefore
3x +224 = 1274
=> 3x = 1274 - 224 = 1050
=> x = 1050/3 = 350
Thus,
no . of people in department A = x = 350
no . of people in department B = x + 70 = 350 + 70 = 420
no . of people in department c = x + 154 = 350 + 154 = 504