Question

The sum of five consecutive numbers in an A.P is 100.
Find the first number​

Answer 1

Step-by-step explanation:

let the first number be x

therefore, the consecutive numbers will be:

x+1

x+2

x+3

x+4

sum of 5 consecutive numbers = 100

:. (x) + (x+1) + (x+2) + (x+3) + (x+4) = 100

=> 5x + 10 = 100

=> 5x +10 -10 = 100 - 10 (subtract 10 from both sides)

=> 5x = 90

=> 5x/5 = 90/5

=> x = 18

:. x+1 = 18+1 = 19

x+2 = 18+2 = 20

x+3 = 18+3 = 21

x+4 = 18+4 = 22

therefore:

the first number = x = 18

VERIFICATION:

18 + 19 + 20 + 21 + 22 = 100 (you can recheck using calculator too)

[HOPE THAT HELPED]