Algebra/math

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Algebra/math

The sum of two numbers is 40. The larger number is 20 more than the smaller number. What are the two numbers?
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Re: Algebra/math

x = smaller number
x + 20 = larger number

x + x + 20 = 40   ← sum of two numbers is 40
2x + 20 = 40   ← combined like terms
2x = 20  ← subtracted 20 from each side
x = 10   ← divided each side by 2
x + 20 = 30   ← substituted 10 back into x + 20

10 and 30 are the two numbers

- Proof