Sign in
Please select an account to continue using cracku.in
↓ →
Three positive number are given.If the average of any two of them is added to the third number, the sums obtained are 172, 216 and 180. What is the average of the given three numbers?
Let the three numbers be $$x,y,z$$
According to ques, => $$(\frac{x+y}{2})+z=172$$ -------------(i)
$$(\frac{y+z}{2})+x=216$$ ------------(ii)
$$(\frac{z+x}{2})+y=180$$ --------------(iii)
Adding all the equations, we get : $$(\frac{2(x+y+z)}{2})+(x+y+z)=172+216+180$$
=> $$2(x+y+z)=568$$
Dividing both equations by 3, => $$\frac{(x+y+z)}{3}=\frac{284}{3}=94\frac{2}{3}$$
=> Ans - (C)
Was this solution helpful?
Create a FREE account and get:
Start your IIM journey with the right preparation and crack CAT 2026.
Educational materials for CAT preparation
Ask our AI anything
AI can make mistakes. Please verify important information.
AI can make mistakes. Please verify important information.
91- 6303239042
