Question

if A:B = 7:5 and B: C = 9:14 , find A: C pl say the ans fast​

Answer 1

Answer :-

• A : C = 9 : 10.

Given :-

• A : B = 7 : 5.
• B : C = 9 : 14.

To find :-

• A : C.

Step-by-step explanation :-

It has been given that :-

$\longmapsto\rm A : B = 7 : 5$

$\rm\longmapsto \dfrac{A}{B} = \dfrac{7}{5}$

And,

$\rm\longmapsto B : C = 9 : 14$

$\rm \longmapsto \dfrac{B}{C} = \dfrac{9}{14}$

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Multiplying both the ratios,

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

Substituting the values of A, B and C,

$\sf \longmapsto \dfrac{7}{5} \times \dfrac{9}{14}$

Reducing the numbers,

$\sf \longmapsto \dfrac{1}{5} \times \dfrac{9}{2}$

Multiplying the numbers,

$\sf\longmapsto \dfrac{9}{10}$

• Hence, A : C = 9 : 10.

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Extra information :-

What is a ratio?

• A ratio is a comparison of two quantities of the same kind.

What is a proportion?

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

Answer 2

Given :

• A : B = 7:5 and B : C = 9 : 14

To find :

• A : C

Solution :

Given , in the question that ,

A : B = 7:5 and B : C = 9 : 14

As we know

$\bf{\blue{(A/B)=(7/5) and (B/C)=(9/14)}}$

$\bf{\red{=(A/B)×(B/C)=(7/5)×(9/14)}}$

$\bf{\green{=(A/C)=(9/10)}}$

$\sf Hence A:C=9:10$