Question

If A:B = 2:3 and B:C = 4:5 then Find A:C​

Answer 1

Answer:

This is the answer. Hope it will be helpful to you.

Answer 2

Answer :-

• A : C = 8 : 15.

Given :-

• A : B = 2 : 3 and B : C = 4 : 5.

To find :-

• A : C.

Step-by-step explanation :

It is given that :-

A : B = 2 : 3.

It means that :-

$\sf \dfrac{A}{B} = \dfrac{2}{3}$

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B : C = 4 : 5.

It means that :-

$\sf \dfrac{B}{C} = \dfrac{4}{5}$

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Multiplying A : B and B : C,

$\implies \sf\dfrac{A}{B} \times \dfrac{B}{C}$

Substituting the values of A, B and C,

$\sf \implies \dfrac{2}{3} \times \dfrac{4}{5}$

Let's multiply the numbers since we can't reduce them anymore.

$\sf\implies \dfrac{2 \times 4}{3 \times 5}$

Multiplying the numbers,

$\sf \implies \dfrac{8}{15}$

• So, A : C = 8 : 15.

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Know more :-

• When two ratios have equal value, we say that they are in proportion.

In a proportion,

• Product of extremes = Product of means.

This is known as cross product rule.

Hence, if ad ≠ bc, then a, b, c and d are not in proportion.