Vahe and davit together can complete a task in 3 days. if they had to work separately, the time taken by davit to complete it would be more than that of vahe by 8 days. in how many days can vahe alone complete the task?

4 days

Step-by-step explanation:

When combining rates you are basically adding fractions.  so if we say Vahe can do v (as a variable) tasks per 3 days and Davit can complete d tasks per 3 days it would look like

now, we know that vahe can complete a task in let's say x days and Davit can complete the task in x+8 days so that means and .  If we can find x we can make these into the v and d terms above, so we need to find x.  If we add these two fractions, like we do the stuff above, we get = .  so now we can set =

from here it's algebra.

= Cross multiply

3(2x+8) = x(x+8) expand

6x + 24 = x^2 +8x Get everything to one side

0 = x^2 + 2x  -24 Factor however you like, I can go through it if you also want.

You wind up with  x = 4

So, now we can plug into the equation with x.  So vahe can complete a task in 4 days and Davit 12 days.  We can check by adding the fractions [tex]\frac{1}{4} + \frac{1}{12} which gives us that 1/3

127

whether it's diameter, or radius, i believe if i remember correctly from school, every amount has to always add up to 180. so if you take 53, and starting adding, long story short, taking 127 and adding it to 53, gives you 180.