4men and 6 boys can finish a piece work in 5 days while 3 men and 4 boys can finish it in 7 days. find the time taken by 1 man alone or that by 1 boy alone.

Number of days taken by 1 man alone and 1 boy alone are 35 days and 70 days respectively.

Step-by-step explanation:

Let, the work completed by 1 man in 1 day = x and the work completed by 1 boy in 1 day = y.

So, 4 men and 6 boy's 1 day work is and

And, 3 men and 4 boy's 1 day work is and

Since, 4 men and 6 boys complete the work in 5 days and 3 men and 4 boys complete the work in 7 days.

So, we have,

Let, and

So, the equations are,

 ................(1)

 ................(2)

Multiply (1) by 3 and (2) by 4 and subtract the equations, we get,

i.e. i.e. i.e. y = 70.

Substitute value of 'v' in (1) gives,

i.e. i.e. i.e. i.e. i.e. i.e. x = 35

So, the number of days taken by 1 men alone and 1 boy alone are 35 days and 70 days respectively.

d

gimmee one of those gold crowns!

~coco

a.

step-by-step explanation:

step 1 distribute 2 to every term in the parentheses

step 2 add 10 on both sides of the equal sign