if x, y, z are three positive numbers such that (A-x) :(A-y) :(A-z) =1:7:4 and 2A=x+y+z then x:y:z = ?

Question

Answer 1

Assume, A-x=k, A-y=7k, A-z=4k (To convert the given ratios to values)
Adding the 3 eqn. given above , 3A-x-y-z=12k
Given 2A=x+y+z , therefore 3A-2A=12k, A=12k
x=A-k, y=A-7k,z=A-4k (from ratio eqn.)
Substituting A as 12k, we get x=11k, y=5k, z=8k
x:y:z= 11:5:8

Answer 2

Assume, A-x=k, A-y=7k, A-z=4k (To convert the given ratios to values)
Adding the 3 eqn. given above , 3A-x-y-z=12k
Given 2A=x+y+z , therefore 3A-2A=12k, A=12k
x=A-k, y=A-7k,z=A-4k (from ratio eqn.)
Substituting A as 12k, we get x=11k, y=5k, z=8k
x:y:z= 11:5:8

Welcome to Adda

Verify Phone Number using

Verify Phone Number

Welcome to Adda

Trending

if x, y, z are three positive numbers such that (A-x) :(A-y) :(A-z) =1:7:4 and 2A=x+y+z then x:y:z = ?

Get Started with 5000+ Free CAT Questions & Mock Tests with Detailed Solutions!