Question

if a is to B is equals to 5 is to 8 and b is to C is equals to 16 is 25 then find A is to c​

Answer 1

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☆ Question:-

=》 If A:B is equals to 5:8 and B:C is equals to 16:25 then find A:C.

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☆ ANSWER:-

▪︎ Given:-

• A:B = 5:8.

• B:C = 16:25.

▪︎ To Find:-

• The Value of A:C.

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▪︎ Now,

• From Given we get,

$\sf \mapsto\frac{A}{B} = \frac{5}{8}. \\ \\ And \\ \\ \sf \mapsto\frac{B}{C} = \frac{16}{25}.$

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▪︎ So Let,

• A be 10x.
• B be 16x.
• C be 25x.

$\tt\because\frac{A}{B} = \frac{5}{8}...(1) \\ \\ \sf Also, \\ \\ \tt\leadsto \cancel \frac{10x}{16x} = \frac{5}{8}...(1) \\ \\ \sf From (1) and (2) we\: get, \\ \\ \tt\leadsto\frac{A}{B} = \frac{10x}{16x}.$

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▪︎ Now,

$\tt\mapsto \frac{A}{C} =\cancel \frac{10x}{25x} \\ \\ \tt\mapsto \frac{A}{C} = \frac{2}{5} \\ \\ \tt\mapsto A:C = 2:5$.

▪︎ Therefore A:C = 2:5.

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Answer 2

Step-by-step explanation:

☆ Question:-

=》 If A:B is equals to 5:8 and B:C is equals to 16:25 then find A:C.

\rule{400}2

☆ ANSWER:-

▪︎ Given:-

A:B = 5:8.

B:C = 16:25.

▪︎ To Find:-

The Value of A:C.

\rule{400}2

▪︎ Now,

• From Given we get,

\begin{gathered}\sf \mapsto\frac{A}{B} = \frac{5}{8}. \\ \\ And \\ \\ \sf \mapsto\frac{B}{C} = \frac{16}{25}.\\ \end{gathered}

↦

B

A

=

8

5

.

And

↦

C

B

=

25

16

.

\rule{400}2

▪︎ So Let,

A be 10x.

B be 16x.

C be 25x.

\begin{gathered}\tt\because\frac{A}{B} = \frac{5}{8}...(1) \\ \\ \sf Also, \\ \\ \tt\leadsto \cancel \frac{10x}{16x} = \frac{5}{8}...(1) \\ \\ \sf From (1) and (2) we\: get, \\ \\ \tt\leadsto\frac{A}{B} = \frac{10x}{16x}.\end{gathered}

∵

B

A

=

8

5

...(1)

Also,

⇝

16x

10x

=

8

5

...(1)

From(1)and(2)weget,

⇝

B

A

=

16x

10x

.

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▪︎ Now,

\begin{gathered}\tt\mapsto \frac{A}{C} =\cancel \frac{10x}{25x} \\ \\ \tt\mapsto \frac{A}{C} = \frac{2}{5} \\ \\ \tt\mapsto A:C = 2:5 \end{gathered}

↦

C

A

=

25x

10x

↦

C

A

=

5

2

↦A:C=2:5

.

▪︎ Therefore A:C = 2:5.

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