Question

STATE WHAT EACH VARIABLE REPRESENTS.

Answer 1

Answer:

17 and 53.

Step-by-step explanation:

Let the two unknown numbers be x and y respectively.

Translating the word problem into an algebraic expression, we have;

x + y = 70 ...... equation 1

x - y = 36 ...... equation 2

From equation 1;

x = 70 - y ...... equation 3

Substituting eqn 3 into eqn 2, we have;

70 - y - y = 36

70 - 2y = 36

70 - 36 = 2y

2y = 34

y = 17

Next, we find x;

x = 70 - y

x = 70 - 17

x = 53