Question

IF x:y= 2:3 and 2:x = 1:2 then the value of y is ????

Answer 1

Answer:

Step-by-step explanation:

x:y = 2:3 can be rewritten as: x/y = 2/3. Cross-multiplying, we get:

3x = 2y

2y = 3x

(2y)/2 = (3x)/2

(2/2)y = (3/2)x

(1)y = (3/2)x

y = (3/2)x

Now, to find the value for y, we must first find the value of x since y is defined in terms of x. Using the second proportion, we have:

2:x = 1:2 which can be rewritten as: 2/x = 1/2. Cross-multiplying, we get:

(2)(2) = (x)(1)

4 = x

Therefore:

y = (3/2)x

= (3/2)(4)

= (3/2)(4/1)

= [(3)(4)]/[(2)(1)]

= 12/2

y = 6

CHECK:

x/y = 2/3

4/6 = 2/3

2/3 = 2/3

Therefore, 6 is indeed the value of y.

Answer 2

Answer:

6 is the answer

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