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kudzordzifrancis
Answer:

The numbers are 14 and 10

Step-by-step explanation:

Let the numbers be

[tex]x:y=7:5 [/tex]

This implies that,

[tex]\frac{x}{y}=\frac{7}{5}[/tex]

[tex]x=\frac{7}{5}y[/tex]

The sum of the numbers is 24.

[tex]x+y=24...(2)[/tex]

Put equation (1) in (2)

[tex]\frac{7}{5}y+y=24[/tex]

[tex]\frac{12}{5}y=24[/tex]

[tex]y=24\times \frac{5}{12}[/tex]

[tex]y=10[/tex]

[tex]x+10=24[/tex]

[tex]x=14[/tex]
imlittlestar

Answer:

The two numbers are 14 and 10

Step-by-step explanation:

It is given that, the ratio of two numbers is 7 to 5 the sum of the numbers is 24.

To find the numbers

Let 7x and 5x be the two numbers.

The sum of numbers = 24

7x + 5x = 24

12x = 24

x = 24/12 = 2

The numbers are 7x = 7 * 2 = 14  and 5

Therefore the numbers are 14 and 10

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