All categories

3 years ago

If 3 consecutive integers sum to 63, the largest of the 3 = ?

Mathematics

2 answers:

Serggg [28]3 years ago

7 0

X+(x+1)+(x+2)=63
3x+3=63
3x=60
x=20
Consecutive integers are: 20, 21, 22
Answer: 22

DochEvi [55]3 years ago

6 0

This problem states that the sum of 3 consecutive integers is 63 and it asks us to find the largest integer.

Three consecutive integers can be represented as followed.

X → first integer

X + 1 → second integer

X + 2 → third integer

Since the sum of our three consecutive integers is 24, we can write an equation.

X + X + 1 + X + 2 = 63

We can simplify our equation on the left and it will read...

<h2>3x + 3 = 63</h2><h2> -3 -3</h2><h2></h2><h2>3x = 60</h2><h2> ÷3 ÷3 ← divide both sides by 3</h2><h2></h2><h2>X = 20</h2><h2></h2><h2>Largest integer = X + 2</h2><h2>20 + 2 = 22</h2><h2></h2><h2>Largest integer = 22</h2>

You might be interested in

What is the slope of this line?

Lostsunrise [7]

Answer:

the slope of this line is 3/4

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Two pairs of socks and a pair of slippers cost $30. Five pairs of socks and a pair of slippers cost $42. Let x represent the cos

UkoKoshka [18]

Answer:

4, 22 See below

Step-by-step explanation:

2x + y = 30

5x + y = 42

Subtract the first from the second

3x = 12

x = 4 so socks cost $4

Put that into one of the original equations

2x + y = 30

2(4) + y = 30

8 + y = 30

y = 22 slippers cost $22

8 0

2 years ago

Read 2 more answers

There are 1,354 Animals in one barn There are 574 goats, 346 cows, and the rest are horses If 89 horses were sold how many horse

Alona [7]

Answer: 345

Step-by-step explanation: 1354-574-346=434-89= 345

4 0

2 years ago

What is the value of the rational expression 2x-1/x+5 when x = 0?

Reptile [31]

<span>2x-1/x+5

2(0) - 1
= ---------------
0 + 5

</span> - 1
= ----------
5

answer
-1/5

4 0

3 years ago

Find the center and radius of the circle represented by the equation below.

pantera1 [17]

Answer:

Center= (-6,-8)

Radius= 6

Step-by-step explanation:

We use the formula (x-h)^2+(y-k)^2 then plug in our numbers:

$(x - h)^2 + (y - k)^2 = r^2\\(x+6)^2 +(y-k)^2=36$

In the equation -h is 6 so our h (x-coordinate) is -6

In the equation -k is 8 so our k (y-coordinate) is -8

In the equation r^2 is 36 so we take the square root of 36 to get r which is 6.

8 0

2 years ago