Question

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

Answer 1

The two numbers are 14 and 10

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

Answer 2

Answer:

The numbers are 14 and 10

Explanation:

Let the numbers be


`x:y=7:5`

This implies that,


`(x)/(y)=(7)/(5)`


`x=(7)/(5)y`

The sum of the numbers is 24.


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

Put equation (1) in (2)


`(7)/(5)y+y=24`


`(12)/(5)y=24`


`y=24* (5)/(12)`


`y=10`


`x+10=24`


`x=14`