The difference between two numbers is 25. The smaller number is 1/6th of the larger number. What is the value of the smaller number? x = larger number
x/6 = smaller number {the smaller number is 1/6th the larger number} x  x/6 = 25 {difference of the two numbers is 25} 6x  x = 150 {multiplied entire equation by 6 to eliminate fraction} 5x = 150 {combined like terms} x = 30 {divided each side by 5} x/6 = 5 {substituted 30, in for x, into x/6} the smaller number is 5  Algebra House
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