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Popular >

the product of two consecutive negative integers is 72. find the value of the lesser integer.

Solution

the product of two consecutive negative integers is 72. find the value of the lesser integer.

Solution

The smallest number : - 9

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 1

A.T.Q.:

x (x + 1) = 72

Solve

x (x + 1) = 72 : x = 8, x = - 9

Select negative solutions:

- 9

x + 1 = - 9 + 1 = - 8

Select the smallest solution:

- 9

The smallest number : - 9

Popular Examples

the sum of 3 times a number and 7 equals 9 twice a number is 26 the product of two consecutive odd numbers is 10 more than the square of the smaller number. FIND THE SMALLER NUMBER Maria is buying a new set of golf clubs. The clubs are marked at 950, but if Maria pays cash, the shop will take 10% off the marked price. How much will the clubs cost if Maria pays cash 3 consecutive integers add up to 51. What are these integers ?