x = larger number

x - 13 = smaller number {smaller number is 13 less than larger number}

x + x - 13 = 65 {sum of two numbers is 65}

2x - 13 = 65 {combined like terms}

2x = 78 {added 13 to each side}

x = 39 {divided each side by 2}

x - 13 = 26 {substituted 39, in for x, into x - 13}

**39 and 26 are the two numbers***- Algebra House*
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