en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

The number : 6

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 1

A.T.Q.:

x (x + 1) = 5 + 5 x

Solve

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

Select positive solutions:

5

x + 1 = 5 + 1 = 6

The number : 6

Popular Examples

Adam went shopping for a new pair of pants because of a sale. The store was offering a 50% discount. If the price on the tag was 32, what would be the price after the discount but before tax, to the nearest dollar and cent?The area of a circle is 0.5024 square millimeters. What is the circle's circumference?The circumference of a circle is 20𝜋 kilometers. What is the radius?9 less than half a number The circumference of a circle is 3𝜋 kilometers. What is the area?