Question

(iv) If x, y, a, b are in proportion, then

a) xy = ab
b) xb = ay
c) ax = by
d) x/y = b/a

please answer this question ​

Answer 1

Answer:

b option

Step-by-step explanation:

x/y::a/b

xb=by

Answer 2

If x, y, a, and b are in proportion, then xb = ay.

Given:

x, y, a, b are in proportion

To find:

Which of the following is true

a) xy = ab               b) xb = ay

c) ax = by               d) x/y = b/a  

Solution:

From the data, x, y, a, and b are in proportion  

The relation between x, y, a, and b can be represented as

=> x: y = a: b    

This implies that x is to y in the same ratio as a is to b.

The above ratio can be written as follows  

=> x/y = a/b

Do cross multiplication

=> x(b) = a(y)

=> xb = ay

Therefore,

If x, y, a, and b are in proportion, then xb = ay.

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