What are two statements of equality?

Answer 1

It is always best to show examples with such types of questions.

Q: The ratio of two numbers is 3 to 4 and their sum is 84. What are their numbers?

A: We decide to use N for the numerator and D for denominator.

(a) N/D = 3/4 and (b) N + D = 84

We will cross multiply in (a), and then solve (b) for D and substitute into (a).

(a) N/D = 3/4 --> 4N = 3D (b) N + D = 84

4N = 3(84 - N) - substituted

4N = 252 - 3N - multiplied

7N = 252 - simplified

N = 36 - divided

Since N + D = 84, then D = 84 - 36 = 48

You now have N and D Solved

That in short is two statement or equality.

----

Another form is:

Q: The sum of two numbers is 128 and their difference is 44. What are the numbers?

A: A little thought is choosing the variables is often helpful. Here we have two numbers. One is greater than the other, so we will use S to represent the small number and L to represent the large number. The equations are:

(a) L + S = 128 and (b) L - S = 44

We will solve the equations by using elimination.

(a) L + S = 128

(b) L - S = 44

-----------------

2L = 172 simplified

L = 82 solved

Thus,

S = 128 - 86 --> S = 42

Hope that helps.

Peace.