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 © Algebra House
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