Six consecutive even numbers add up to 90 . What are the numbers?

Решение

S i x co n sec u t i v e e v e n n u mb ers a dd u p t o 90 . Wha t a re t h e n u mb ers ?

The numbers : 10, 12, 14, 16, 18, 20

Шаги решения

Represent the numbers with

x

First number : x

Consecutive number 1 : x + 2

Consecutive number 2 : x + 4

Consecutive number 3 : x + 6

Consecutive number 4 : x + 8

Consecutive number 5 : x + 10

A.T.Q.:

x + x + 2 + x + 4 + x + 6 + x + 8 + x + 10 = 90

Решить

x + x + 2 + x + 4 + x + 6 + x + 8 + x + 10 = 90 : x = 10

x + 2 = 10 + 2 = 12

x + 4 = 10 + 4 = 14

x + 6 = 10 + 6 = 16

x + 8 = 10 + 8 = 18

x + 10 = 10 + 10 = 20

The numbers : 10, 12, 14, 16, 18, 20