Question

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

Answer 1

Answer:

The numbers are $164$  and  $287$

Step-by-step explanation:

Let

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

y-----> the second number

we know that

$\frac{x}{y}=\frac{4}{7}$

$x=\frac{4}{7}y$ -----> equation A

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

substitute equation A in equation B

$y-\frac{4}{7}y=123$

$\frac{3}{7}y=123$

$y=123*7/3=287$

Find the value of x

$x=\frac{4}{7}(287)=164$

Answer 2

Answer:

  164 and 287

Step-by-step 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.