Question

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

Answer 1

Answer:

The numbers are 14 and 10

Step-by-step explanation:

Let the numbers be

$x:y=7:5$

This implies that,

$\frac{x}{y}=\frac{7}{5}$

$x=\frac{7}{5}y$

The sum of the numbers is 24.

$x+y=24...(2)$

Put equation (1) in (2)

$\frac{7}{5}y+y=24$

$\frac{12}{5}y=24$

$y=24\times \frac{5}{12}$

$y=10$

$x+10=24$

$x=14$

Answer 2

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