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The ratio of two numbers is 7 to 5 the sum of the numbers is 24 what are the numbers
4 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]