Question

if a:b=2:3 and b:c=5:7 then a:c is?

Answer 1

The answer would be 10:21

Answer 2

The value of a: c is 10:21

GIVEN:

a:b = 2:3 and b:c = 5:7

To find:

a:c

Solution:

In the given sum, a: b = 2:3 and b: c = 5:7

We know, Ratio is the quantitative value between two values (here, between a and b, in the first case and between b and c in the second case) that gives the number of times one value contains or is contained within the other value.

Hence, the ratio of two quantities can be represented in a fraction form, where the first number is the number in the numerator and the second number is the number in the denominator.

Thus the given ratio, when expressed as fraction, can be written as:  

$\frac{a}{b}=\frac{2}{3}$and $\frac{b}{c}=\frac{5}{7}$

Thus, to find out a:c, we just have to multiply $\frac{a}{b} \text { and } \frac{b}{c} ,$

$\therefore \frac{a}{b} \times \frac{b}{c}=\frac{2}{3} \times \frac{5}{7}$

$\Rightarrow \frac{a}{c}=\frac{10}{21}$

$\Rightarrow a : c = 10 : 21$