Question

A:b=2:3 C:D=5:6 Then A:C= ?​

Answer 1

The write answer is A:C = 2:5

Answer 2

A:C = 4:5

Given,

A:D = 2:3

C:D = 5:6

To Find,

A:C = ?

Solution,

This problem could be solved using a very simple method.

We use the concept of ratios in solving the problem.

A ratio in mathematics shows how many times one number is contained in another.

For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six.

The ratio of oranges to the overall amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8.

We have been given that the ratio A:D = 2:3

$\implies \frac{A}{D} = \frac{2}{3}$

Let this be equation (1)

We have also been given that the ratio C:D = 2:3

$\implies \frac{C}{D} = \frac{5}{6}$

Let this be equation (2)

Divide (1) by (2), we get the following relationship:

$\implies \frac{A}{D} \div \frac{C}{D} = \frac{2}{3} \div \frac{5}{6}\\\\\implies \frac{A}{D} \times \frac{D}{C} = \frac{2}{3} \times \frac{6}{5}\\\\\implies \frac{A}{C} = \frac{4}{5}$

Therefore, the ratio A:C = 4:5.

Correction in question:

A:D=2:3 C:D=5:6 Then A:C= ?​

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