Three consecutive odd numbers are such that if you subtract the product of the smaller two from the product of the greater two, the result will be 76. find these numbers

The three consecutive odd numbers such that  the product of the smaller two from the product of the greater two, the result will be 76 are 19,21 and 23.

Given-

Let x be the number.

As these number are consecutive odd numbers. thus we can write them as,

and so on....

Now in the question we have given that if we subtract the product of the smaller two from the product of the greater two, the result will be 76. Thus,

Divide both side by 4.

The value of x is 9. therefore the value of the numbers are,

Hence the three consecutive odd numbers such that  the product of the smaller two from the product of the greater two, the result will be 76 are 19,21 and 23.

For more about the consecutive numbers follow the link below-

link

17, 19, 21 ✔️are the three consecutive odd numbers.

Step-by-step explanation:

Let n an integer number

Three consecutive odd numbers can be expressed as:

(2·n − 1) , (2·n − 1) + 2 , (2·n − 1) + 4

(2·n − 1) , (2·n + 1) , (2·n + 3)

The product of the greater two is: (2·n + 1) x (2·n + 3)

The product of the smaller two is: (2·n − 1) x (2·n + 1)

If we substract the product of the smaller two from the product of the greater two, the result will be 76.

We can express this:

(2·n + 1) x (2·n + 3) - (2·n - 1) x (2·n + 1) = 76

4n² + 6n + 2n + 3 - [4n² + 2n - 2n - 1] = 76

4n² + 8n + 3 - 4n² - 2n + 2n + 1 = 76

8n + 4 = 76

8n = 76 - 4 = 72

n = 72/8 = 9

Now we can substitute the calculated value for n, and the numbers are:

(2·n − 1) , (2·n + 1) , (2·n + 3)

(2·9 − 1) = 17

(2·9 + 1) = 19

(2·9 + 3) = 21

17, 19, 21 ✔️are the three consecutive odd numbers.

Check

If we substract the product of the smaller two from the product of the greater two, the result will be 76:

21x19 - 17x19 = 19(21 - 17) = 19 x 4 = 76✔️ checked!

55

step-by-step explanation:

the most boring thing ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.