Question

Two numbers are in the ratio of 7 : 4 and their difference is 33. Find the numbers.

Please do it step by step.​

Answer 1

Answer: 77 & 44

Step-by-step explanation:

These are the two equations
x-y=33
&
x/y=7/4
So now that we have the equations, you would use substitution to solve it.
x = 33 - y

33 - y:y = 7:4

4 * (33 - y) = 7y

Distribution:

132 - 4y = 7y

Subtract:

132 = 3y

Divide:

y = 44

Now that we know that y is 44, we find x

x - 44 = 33

Add:

x = 77

The numbers are 77 and 44.