ratio

The answer of 001 is wrong! Let me help you.


Correct answers as follows:


(a) x = 3y, y = 2z

y = 2z ====> y : z = 2 : 1
x = 3y ====> x : y = 3 : 1 = 6 : 2

"The common quantity is y and the two nos are now the same"

Combine them together, we have

x : y : z = 6 : 2 : 1
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(b) 3x = 2y, 6y = 5z

3x = 2y ====> x : y = 2 : 3 ---- (1)
6y = 5z ====> y : z = 5 : 6 ---- (2)

"Make the nos. of common quantity y equal in both ratios"

From (1): we have x : y = 10 : 15
From (2): we have y : z = 15 : 18


Combine them together, we have

x : y : z = 10 : 15 : 18
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Hope I can help you.

Alternatively, (a) Express x and z in terms of y x = 3y, y =2z, z = 1/2 y The ratio of x:y: z is 3y: y: 1/2y Multiply each term by 2 to get rid of the fraction x:y:z 6y : 2y: y x : y : z 6 : 2: 1
(b) Express x and z in terms of z 3x = 2y x = 2/3 x 6y = 5z z =6/5 y The ratio of x: y: z is 2/3y : y : 6/5y Multiply each term by 15 to get rid of the fraction x: y : z 10y : 15y: 18y x : y : z 10:15:18Hi, heihei, make your choice. Cheers!

Superman sir is correct!

a)x=3y,y=2z
x=3(2z)=6z and
y=2z

So x:y:z =6:2:1

b)3x=2y,6y=5z
x=2y/3 and y=5z/6

So x=2(5z/6)/3 =5/9z

Therefore x:y:z =5/9:5/6:1 =20:25:36