Question

3 men and 4 boys can do a piece of work in 14 days while 4 men and 6 boys do the same work in 10 days how long would it take one man to finish the same work​

Answer 1

Step-by-step explanation:

3x + 4y= 14 ______(1)

4x+ 6y = 10 ______(2)

By using Elimination method:

multiple eq 1 by 4 and eq 2 by 3.

12x + 16y=56______(3)

12x + 18y= 30______(4)

Adding 3 and 4

we get y = -13

put the value of y in eq 1

3x + 4y = 14

3x+ 4(-13)=14

3x+(-52)= 14

3x=14 + 52

3x= 66

x=22