Question

if A:B is 4:7 and B:C is 5:9,then A:B:C is​

Answer 1

$\large \dagger\pmb{\bf{Question}}$

If A : B is 4 : 7 and B : C is 5 : 9, then

A : B : C is

$\rule{200pts}{2pts}$

Solution

Given the two ratios A : B & B : C with the values 4 : 7 and 5 : 9 respectively. Now we have to find

A : B : C before this we have to find a common factor for B because in the above ratios we can find the different values for B i.e. 7 and 5 so in order to find a common factor we have to find its

LCM

$\begin{array}{c |c}5&5,7 \\ \hline 7&1,7 \\ \hline&1,1\end{array} \\ = 5 \times 7 = 35$

Therefore , 35 is that particular common factor

Now , proceed with steps as shown

$: \longrightarrow \tt\dfrac{A}{B} = \dfrac{4 \times 5}{7 \times 5} = \dfrac{20}{35}$

Precaution : Multiply both numerator and denominator so that the ratio remains unaltered

Similarly,

$: \longrightarrow \tt \dfrac{B}{C} = \dfrac{5 \times 7}{9 \times 7} = \dfrac{35}{63}$

Therefore, Now since we get the common factor for B Now,

• A : B : C = 20 : 35 : 63

Required Answer

$\large \tt A : B : C = 20 : 35 : 63$

Thankyou