A first number plus twice a second number is 22. Twice the first number plus the second totals 28. F

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A first number plus twice a second number is 22. Twice the first number plus the second totals 28. Find the numbers.

Let the first number be x. Let the second number be y. We're given two equations:

1. x + 2y = 22 <-- Since twice means multiply by 2
2. 2x + y = 28 <-- Since twice means multiply by 2

We have a set of simultaneous equations. We can solve this three ways

• Substitution Method
• Elimination Method
• Cramers Rule

No matter which method we use, we get the same answer:

• x = 11 & 1/3
• y = 5 & 1/3