Question 426172
"the sum of two numbers is 25. The greater number is 10 less than the product of 6 and the smaller number. Find the smaller number"


x = one number
6x - 10 {greater number is 10 less than product of 6 and smaller}


x + 6x - 10 = 25 {sum of two numbers is 25}
7x - 10 = 25 {combined like terms}
7x = 35 {added 10 to both sides}
x = 5 {divided both sides by 7}


the smaller number is 5
<a href = "http://www.algebrahouse.com/" target = "_blank">www.algebrahouse.com</a>