Missing number in the series 9, 6561, 43046721 is: 81 25 62 31 18 9. one number is 2 more than 3 times another. their sum is 22. find the numbers. 8, 14 5, 17 2, 20 4, 18 10, 12 10. the missing number in the series 1, 4, 3125 is: 81 35 729 256 115 11. the next number in the series 3, 4, 6, 7, 9, 10 is: 12 11 15 17 13 12. a farmer is planting a straight row of crops with 3 feet between each plant. if 23 are planted, what is the distance between the first and last plant? 72 66 69 63 75


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You are watching: The missing number in the series 9, ____, 6561, 43046721 is:

Missing number fom the series : 9, ..... , 6561, 43046721

43046721 is square of its previous number 6561, means

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It means the missing number will be square of its previous number

Means

*
, so missing number is 81. : Answer

Next : one number is 2 more than 3 times another. their sum is 22. find the numbers.

Suppose one number is x and second number is y

As per given equation, ......equation (1)


Their sum is 22 means, .......equation (2)

Putting the value of x from equation1 into equation 2

*

*

Subtracting 2 in both sides

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Means numbers are 17 and 5. : Answer

Next : the missing number in the series 1, 4, 27,____, 3125 is

1 could be written as 1

4 could be written as

*

27 could be written as

*

So , next number would be

*

Next one is

*

So, the missing number is 256 : Answer

Next : the next number in the series 3, 4, 6, 7, 9, 10 is

After 3,4 (5) is mising, 6, 7 (8) is missing, 9, 10 (11) will be missing

So, next number will be 12. : Answer

Next : a farmer is planting a straight row of crops with 3 feet between each plant. if 23 are planted, what is the distance between the first and last plant?

Between 2 plants, the distance is =


Between 3 plants, the distance is =

*

So, between 23 plants, the distance is =

*

hene the distance between first and last plant woule be 66 feet. : Answer


1st number = x, 2nd number = yTranslating the question mathematically it becomes:x-2 = 3y, or to make it easier: x= 3y+2, x+y= 22

Thus:(3y + 2) + y = 22 4y + 2 = 22

Move the 2 on the other side, changing its sign to negative:4y = 22 - 24y = 20

Divide by 4, to obtain only y:4y : 4 = 20 : 4y = 5

To obtain x:x= (3*5) + 2= 15+2 = 17

Verify it: 17+5=22


Let the number be x.

Hence the other number is 2 + 3*x.

Their sum is 22;

x + 2 + 3x = 22

4x + 2 = 22

4x = 20


 Therefore, x = 5

< 2 + 3x = 2 + 3*5 = 2+15 = 17 >

Hence the two numbers are, 5 and 17. 


Make a system of equations.

Re-arrange the 2nd equation:

Subtract y to both sides:

Plug in -y + 22 for "x" in the first equation.

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Subtract 3y to both sides:

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Subtract 22 to both sides:

Divide -4 to both sides:

*

Plug this into any of the two equations to find "x":

Subtract 5 to both sides:

*

So one of the numbers is 5 and one of them is 17.


One number is x.The other number is 2 more than 3 times the first number, so it"s 3x+2.The sum of the numbers is 22.

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The numbers are 5 and 17.


One number is x.The other number is 2 more than 3 times the first number, so it"s 3x+2.The sum of the numbers is 22.

*

The numbers are 5 and 17.


This question is asking for the value of two numbers, which we can label as:

#1 = x(Any value we do not know can be represented with a variable)#2 = 3x + 2("2 more" means + 2, and "3 times" means multiply by 3. The "another" is the variable we talked about before. Combining everything we have 3x + 2).

The last piece of information we are given is that the sum of the two numbers is 22. The word sum indicates that we need to add the two numbers, and when they added they will equal the integer 22.(x) + (3x + 2) = 22x + 3x + 2 = 22Combine like terms4x + 2 = 22Subtract 2 from both sides4x = 20Divide 4 from both sidesx = 5

This sole value of "x" already gives us the value of the first number. Since our second number is "3x + 2", all we have to do is plug in the value of x into the expression.

3x + 2 = 3(5) + 2 = 15 + 2 = 17The second number is 17.

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Final The two numbers are 5 and 17.(If you want to check, add the two numbers and make sure they add up to 22 and multiply 5 by 3 and add 2.)
X + y = 14x = 3y + 2

3y + 2 + y = 144y + 2 = 144y = 14 - 24y = 12y = 12/4y = 3 x = 3(3) + 2x = 9 + 2x = 11 x = 3y + 2

3y + 2 + y = 224y + 2 = 224y = 22 - 24y = 20y = 20/4y = 5

x = 3y + 2 = 3(5) + 2 = 15 + 2 = 17

ur numbers are 5 and 17


X+3x+2=224x=20x=53x+2=17
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