Question

4 boys and 6 girls can do a piece of work in 24 days in how many days can the work be done by 6 boys and 18 girls​

Answer 1

Step-by-step explanation:

let,

boys=x

girls=y

according to the question:

4x+6y=24....... (1)

6x×18y=?......... (2)

firstly (1)×6and (2)×4

6 (4x+6y)=24×6

24x+36y= 144.......(3)

4 (6x+18y)=?

24x+72y=?..... (4)

now (3)-(4)

24x+36y-24x+72y=144

now 24x and -24x are cancel with one another

36y+72y=144

108y= 144

y=144/108

y=4/3

now put y=4/3 in equation (1)

4x+6×4/3=?

4x+3×4=?

4x+12=?

4x= -12

x= -12/4

x = -3

put x and y value in equation (1)

4×(-3)+6 (4/3)=

-12 +8

-4

and the answer is 4

if it is wrong I am very sorry