Answer:
One number is 60 and the other is 7.
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
Algebra I
- Terms/Coefficients
- Solving systems of equation using substitution/elimination
Explanation:
Step 1: Define
Identify and set up
Let x be one number and y be the other.
x + y = 67
x - y = 53
Step 2: Solve for x
Elimination
- Combine two equations: 2x = 120
- [Division Property of Equality] Divide 2 on both sides: x = 60
Step 3: Solve for y
- Substitute in x [1st Equation]: 60 + y = 67
- [Subtraction Property of Equality] Subtract 50 on both sides: y = 7