The product of two consecutive positive integers is 5 more than five times the smallest integer. Find the value of the larger integer.

解

T h e p ro d u c t o f tw o co n sec u t i v e p os i t i v e in t e g ers i s 5 m ore t han f i v e t im es t h e s ma ll es t in t e g er . F in d t h e v a l u e o f t h e l a r g er in t e g er .

The number : 6

解答ステップ

Represent the numbers with

x

First number : x

Consecutive number : x + 1

A.T.Q.:

x (x + 1) = 5 + 5 x

解く

x (x + 1) = 5 + 5 x : x = 5, x = - 1

Select positive solutions:

5

x + 1 = 5 + 1 = 6

The number : 6