Question

22. If a:b = 9:5 and b:c= 7:4, then a:b:c = ?
•14:10:17
•35:63:20
•63:35:20
•20:36:63​

Answer 1

Answer:

63 : 35 : 20

Step-by-step explanation:

a : b = 9 : 5 & b : c = 7 : 4

For the ratio a : b : c, b must be same in a:b and b:c. For that:

Multiply & divide RHS of a : b by 7 & that of b : c by 5.

a : b = 9/5 = (9*7)/(5*7) = 63/35

b : c = 7/4 = (7*5)/(4*5) = 35/20

As b is now same :

a : b : c = 63 : 35 : 20

Answer 2

Answer:

$\Large \underline \red{\sf \pmb{Given}}$

• ➛ A:B = 9:5
• ➛ B:C = 7:4

$\Large \underline\red {\sf \pmb{To \: Find }}$

• ➛ A:B:C

$\Large \underline \red{ \sf \pmb{Using \: Formula }}$

$\underline{\boxed{\sf{A:B:C=(r\times t):(s\times t):(s\times u)}}}$

Where

• ➟ R = A
• ➟ T = B
• ➟ U = C

$\Large \underline \red {\sf \pmb{Solution}}$

$\pink\bigstar \underline \frak{ \pmb{Here}}$

$\implies\sf{A:B=9 : 5 }$

$\implies\sf{B:C = 7 : 4 }$

$\pink\bigstar\underline{ \frak{ \pmb{According \: to \: the \: question}}}$

${ \implies\sf{A:B:C=(r\times t):(s\times t):(s\times u)}}$

• ➛ Substituting the given values

${ \implies\sf{A:B:C=(9\times 7):(5\times 7):(5\times 4)}}$

${ \implies\sf{A:B:C=(63):(35):(20)}}$

${ \implies\bf{A:B:C=63:35:20}}$

$\large\purple\bigstar\underline{\boxed{\sf \pink{A:B:C=63:35:20}}}$

• ➛ Henceforth,The A:B:C is 63:35:20