The sum of two numbers is 15. Three times the smaller number is equal to five less than two times the larger number. Find the numbers

x = small number

15 - x = larger number {their sum is 15}

3x = 2(15 - x) - 5 {three times smaller is 5 less than two times larger}

3x = 30 - 2x - 5 {used distributive property}

3x = -2x + 25 {combined like terms}

5x = 25 {added 2x to both sides}

x = 5 {divided both sides by 5}

15 - x = 10 {substituted 5, in for x, into 15 - x}

**5 and 10 are the two numbers**

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