Question

a set of n numbers has the sum S. Each number of the set is increased by 20 then multiplied by 5 and then decreased by 20. Then the sum of the numbers in the new set thus obtained is____

Answer 1

There are n numbers

Sum = S


Each number of the set is increased by 20

x+20

.....then multiplied by 5

5(x+20) = 5x + 100


........ and then decreased by 20

5x + 100 - 20 = 5x + 80

Essentially each number has been multiplied by 5 and increased by 80


The sum of the numbers in the new set = 5S + 80n

Answer 2

Answer:

Step-by-step explanation:

There are n numbers

Sum = S

Each number of the set is increased by 20

x+20

.....then multiplied by 5

5(x+20) = 5x + 100

........ and then decreased by 20

5x + 100 - 20 = 5x + 80

Essentially each number has been multiplied by 5 and increased by 80

The sum of the numbers in the new set = 5S + 80n