# SOLUTION: Help! The sum of two integers is 10. Three times the larger integer is three less than eight times the smaller integer. Find the integers.

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 Question 2819: Help! The sum of two integers is 10. Three times the larger integer is three less than eight times the smaller integer. Find the integers.Answer by kiru_khandelwal(79)   (Show Source): You can put this solution on YOUR website!Let the two integers be x and y Sum of two integers = 10 => x+y = 10.......eq(1) Let x > y So , three time the larger integer is three less then eight times the smaller integer => 3x = 8y -3........eq(2) From equation(1) x = 10-y substituting the value of x in eq(2) 3(10-y) = 8y -3 => 30 -3y = 8y -3 => 33 = 11y => y = 3 substituting the value of y in eq(1) to get value of x => x = 10-3 =7 So the two integers are 7 and 3