Question

2) The sum of two numbers is 100. Their difference is 4. What are the two numbers?

Answer 1

48 and 52

Explanation:

We have a pair of simultaneous equations and will solve these using substitution.

x + y = 100 (1)

x - y = 4 (2)

Solve for x:

x+y=100 , x - y = 4

x=52

Substitute x with 52

(52) + y = 100 , (52) - y = 4

Simplify:

y = 48

Answer 2

Answer: 48, 52

Explanation:

The sum of the two numbers (x, y) is 100. This means that;

x+y=100

Their difference is 4, so;

y=x+4

Now, you can substitute that in for y;

x+(x+4)=100

Simplify;

2x+4=100

2x=96

x=48

Now, we plug in the value of x to the second equation;

y=48+4

y=52