Question

A ratio in the simplest form is 7 : 9. If its consequent is 99, find the antecedent.

Answer 1

Answer:

.

Step-by-step explanation:

Given ratio:

7:9

Its antecedent is 105

Let the consequent of the ratio be x

Then,

\frac{7}{9}=\frac{105}{x}

9

7

=

x

105

7x=105*9

x=\frac{105*9}{7}x=

7

105∗9

reducing by 7 we get

x=15 * 9

x=135

Therefore the consequent is 135.

Answer 2

Answer:

$7 : 9 = x : 99 \\ \frac{7}{9} = \frac{x}{99} \\ 7 \times 99 = 9x \\ \frac{7 \times \cancel{99} _{ \: \: 11}}{ \cancel{9} _{ \: \: 1}} = x \\ 7 \times 11 = x \\ \underline{ \underline{77}} = x$