the average of a set of six integers is 38. when a seventh number is included in the set, the average of the set increase to 47. what is the seventh number? helpppp

Answer 1

6*38 = 228

(228 + x )/7 = 47
228 + x = 329
x = 101
check
228 + 101 = 329
329/7 = 47 sure enough

Answer 2

If the average of six integers is 38, then the total must be 6 × 38, or 228. If the average of seven integers is 47, then the total must be 7 × 47, or 329. Since you are adding a seventh integer to the set, the value of the seventh integer will be the difference between 329 and 228: 329 −228 = 101.