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Let x, y and z are three positive numbers and P = x y z/2 ; if (p-x): (p-y): (p-z)-3:5:7 then the ratio of x:y:zis?
Most Upvoted Answer
Let x, y and z are three positive numbers and P = x y z/2 ; if (p-x): ...
Solution:
Given, P = xyz/2 and (p-x): (p-y): (p-z) = 3:5:7
Let's assume p-x = 3k, p-y = 5k and p-z = 7k
Adding above three equations, we get
p-x + p-y + p-z = 15k
xyz/2 = 15k
xyz = 30k
Therefore, x:y:z = 10k:y/2:15k/2
Let's assume y/2 = 10
y = 20
Therefore, x:y:z = 5:10:15
Hence, the ratio of x:y:z is 5:10:15.
Given, P = xyz/2 and (p-x): (p-y): (p-z) = 3:5:7
Let's assume p-x = 3k, p-y = 5k and p-z = 7k
Adding above three equations, we get
p-x + p-y + p-z = 15k
xyz/2 = 15k
xyz = 30k
Therefore, x:y:z = 10k:y/2:15k/2
Let's assume y/2 = 10
y = 20
Therefore, x:y:z = 5:10:15
Hence, the ratio of x:y:z is 5:10:15.
Community Answer
Let x, y and z are three positive numbers and P = x y z/2 ; if (p-x): ...
P=(X+Y+Z)/2
So 2P=X+Y+Z
Now (P−X):(P−Y):(P−Z)=3:5:7
So P−X=3,X=P−3
P−Y=5,Y=P−5
P−Z=7,Z=P−7
X+Y+Z=3P−15
2P=3P−15,P=15
Thus X=15–3=12
Y=15–5=10
Z=15–7=8
ThusX:Y:Z=12:10:8=6:5:4
So 2P=X+Y+Z
Now (P−X):(P−Y):(P−Z)=3:5:7
So P−X=3,X=P−3
P−Y=5,Y=P−5
P−Z=7,Z=P−7
X+Y+Z=3P−15
2P=3P−15,P=15
Thus X=15–3=12
Y=15–5=10
Z=15–7=8
ThusX:Y:Z=12:10:8=6:5:4
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Let x, y and z are three positive numbers and P = x y z/2 ; if (p-x): (p-y): (p-z)-3:5:7 then the ratio of x:y:zis?
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Let x, y and z are three positive numbers and P = x y z/2 ; if (p-x): (p-y): (p-z)-3:5:7 then the ratio of x:y:zis? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Let x, y and z are three positive numbers and P = x y z/2 ; if (p-x): (p-y): (p-z)-3:5:7 then the ratio of x:y:zis? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let x, y and z are three positive numbers and P = x y z/2 ; if (p-x): (p-y): (p-z)-3:5:7 then the ratio of x:y:zis?.
Let x, y and z are three positive numbers and P = x y z/2 ; if (p-x): (p-y): (p-z)-3:5:7 then the ratio of x:y:zis? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Let x, y and z are three positive numbers and P = x y z/2 ; if (p-x): (p-y): (p-z)-3:5:7 then the ratio of x:y:zis? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let x, y and z are three positive numbers and P = x y z/2 ; if (p-x): (p-y): (p-z)-3:5:7 then the ratio of x:y:zis?.
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