Question 6 of [tex]25[/tex]

Which numbers are the extremes of the proportion shown below?

[tex]\frac{4}{7}=\frac{20}{35}[/tex]

A. 4 and 35
B. 4 and 20
C. 7 and 20
D. 7 and 35



Answer :

To determine the extreme values in the given proportion [tex]\(\frac{4}{7} = \frac{20}{35}\)[/tex], let's start by understanding what extremes in a proportion are. In any proportion [tex]\(\frac{a}{b} = \frac{c}{d}\)[/tex], the extremes are the first and the last terms, which are [tex]\(a\)[/tex] and [tex]\(d\)[/tex] respectively.

Given proportion:
[tex]\[ \frac{4}{7} = \frac{20}{35} \][/tex]

Examining this proportion, we identify the terms as follows:
- The first term (extreme on the left) is 4.
- The second term is 7.
- The third term is 20.
- The fourth term (extreme on the right) is 35.

Therefore, the extremes in this proportion are the first and the fourth terms, which are 4 and 35.

Looking at the provided options:
- A. 4 and 35
- B. 4 and 20
- C. 7 and 20
- D. 7 and 35

The correct choice is:
A. 4 and 35