The sum of three different numbers is 67. The two larger numbers differ by 7 and the two smaller numbers differ by 8. What is the value of the largest number?
+37165 x x + 7 and x - 8 are the three numbers (given)
sum to 67
x + x+7 + x-8 = 67
x = 22 2/3 and 29 2/3 and 14 2/3
