Question

Find two numbers if their ratio is 4:7 and their difference is 123.
help

Answer 1

The numbers are
`164` and
`287`

Explanation:

Let

x-------> the first number

y-----> the second number

we know that

`(x)/(y)=(4)/(7)`

`x=(4)/(7)y` -----> equation A

`y-x=123` -----> equation B

substitute equation A in equation B

`y-(4)/(7)y=123`

`(3)/(7)y=123`

`y=123*7/3=287`

Find the value of x

`x=(4)/(7)(287)=164`

Answer 2

164 and 287

Explanation:

Their difference is 7-4 = 3 ratio units, so each ratio unit must stand for 123/3 = 41.

Then the numbers are 4·41 and 7·41, or 164 and 287.