The product of the two consecutive positive integers is 11 more than their sum. What are the numbers? Write the numbers from least to greatest.

解

T h e p ro d u c t o f t h e tw o co n sec u t i v e p os i t i v e in t e g ers i s 11 m ore t han t h e i r s u m . Wha t a re t h e n u mb ers ? W r i t e t h e n u mb ers f ro m l e a s t t o g re a t es t .

The largest number : 5

解答ステップ

Represent the numbers with

x

First number : x

Consecutive number : x + 1

A.T.Q.:

x (x + 1) = 11 + x + x + 1

解く

x (x + 1) = 11 + x + x + 1 : x = 4, x = - 3

Select positive solutions:

4

x + 1 = 4 + 1 = 5

Select the largest solution:

5

The largest number : 5