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Popular Word Problems >

find 3 positive consecutive integers such that the product of the second integer and the third integer is 72.

Solution

solve for

3 p os i t i v e co n sec u t i v e in t e g ers s u c h t ha t t h e p ro d u c t o f t h e seco n d in t e g er an d t h e t hi r d in t e g er i s 72.

Solution

The numbers : 7, 8, 9

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number 1 : x + 1

Consecutive number 2 : x + 2

A.T.Q.:

(x + 1) (x + 2) = 72

Solve

(x + 1) (x + 2) = 72 : x = 7, x = - 10

Select positive solutions:

7

x + 1 = 7 + 1 = 8

x + 2 = 7 + 2 = 9

The numbers : 7, 8, 9

Popular Examples

a number squared increased by 16 Malik opened a savings account and deposited 213.00. The account earns 6% interest, compounded quarterly. If he wants to use the money to buy a new bicycle in 2 years, how much will he be able to spend on the bike?Find the time required for an investment of 16000 to grow to 21000 at an annual interest rate of 6%. Complete parts a. through e..you invest 500 dollars at an 8% annual interest rate, if it is compounded annually how much is your investment worth after 4 years one number is two more than another. Their sum is fourteen. Find both numbers