MATH SOLVE

2 months ago

Q:
# The ratio of two numbers is 7 to 5 the sum of the numbers is 24 what are the numbers

Accepted Solution

A:

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]

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]