Question

if a:b=3:4 and b:c =3:4 then find the value of a:c​

Answer 1

Answer:

A:C = 9:16

Step-by-step explanation:

A:B = 3:4, B:C = 3:4, A:C = ?

A/B = 3/4, B/C = 3/4

So,

A:C = A/C = A×B/A×C

3/4 × 3/4

A:C = 9:16

Answer 2

In context to question asked,

We have to determine the ratio of a, b and c.

As per question,

We have,

a:b = 3:4 and b:c =3:4

So, we can write it as,

$\frac{a}{b} = \frac{3}{4}-------(1)\\\frac{b}{c} = \frac{3}{4} -------(2)$

So, for equalizing the ratio of "b" we will multiply first equation by 4 and second equation by 3.

Thus we will get,

$\frac{a}{b} = \frac{3\times 3}{4\times 3} = \frac{9}{12}-------(1)\\\frac{b}{c} = \frac{3\times 4}{4\times 4} =\frac{12}{16}-------(2)\\=>a:b:c = 9:12:16\\=>a:c = 9:16$

Hence, ratio of a, and c will be 9:16