find three consecutive numbers whose sum is 60. write and equation then slove the problem. please help !?

Answer 1

I will just do it a little differently.
Write three consecutive numbers who's sum is 60:

x + (x-1) + (x-2) = 60
3x - 3 = 60
3x = 63
x = 21
So,
x - 1 = 20
x - 2 = 19

So the numbers are 19, 20, 21.

Note the answer is the same if we start with
x, x+1, x+2 or
x-1, x, x+1

Answer 2

lets call the three numbers x y and z. since they are consecutive,
x+1=y
y+1=z
from the first equation, we know y-x+1. thus, z=(x+1)+1=x+2.
we also know that x+y+z=60.
since y=x+1, then x+(x+1)+z=60
since z=x+2, then x+(x+1)+(x+2)=60
x+x+1+x+2=60
3x+3=60
3x=60-3=57
3x=57
x=57/3=19
thus, the value of y, which is x+1, is 19+1=20. the value of z is y+1, so 20+1=z, z=21.
the three numbers are 19,20, and 21.

Answer 3

let

x = first consecutive number

x + 1 = second consecutive number

x + 2 = Third consecutive number

60 = the sum

The equation

x + x + 1 + x + 2 = 60

3x + 3 = 60

Transpose 3

3x + 3 - 3 = 60 - 3

Collect like terms

3x = 57

Divide both sides of the equation by 3

3x / 3 = 57 / 3

x = 57/3

x = 19
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The first consecutive numer is 19

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The second consecutive number is:

x + 1

19 + 1 = 20

The second consecutive number is 20

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The third consecutive number is:

x + 2

19 + 2 = 21

The thire consecutive number is 21
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The Sum

19 + 20 + 21 = 60

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Answer 4

This is a really simple problem. What part of it are you having trouble with?

Let the three numbers be x, y and z.

x + y + z = 60

We know that y = x + 1, and z = x + 2. Substituting:

x + (x+1) + (x+2) = 60
3x + 3 = 60
3x = 57
x = 19

y = 20, z = 21

Answer 5

OK

x + x+1 + x+2 = 60
3x + 3 = 60
3x + 57
x = 19

So the three consecutive numbers are: 19,20,21

Hope that helps.

Answer 6

3 consecutive numbers whose sum is 3n = 60 are
n--1, n, n+1 given by 60/3 -- 1, 60/3, 60/3 +1 or 19, 20, 21.

Answer 7

three consecutive numbers are
x
x+1
x+2
so the sum therefore...
x + (x+1) + (x +2) = 60
3x + 3 = 60
3x = 57
x = 19
so the three consecutive numbers are
19, 20 and 21

Answer 8

x+(x+1)+(x+2)=60

3x+3 = 60

3x = 57

x=19
x+1 = 20
x+2=21

Answer 9

x + (x + 1) + (x + 2) = 60
3x + 3 = 60
3x = 57
x = 19
Numbers are 19 , 20 , 21

Answer 10

lower number
middle number= lower number +1 (because it has to be one more because they are consecutive)
upper number=middle number +1.

lower number + middle number + upper number=60

Substitute for the middle number and upper number with the expressions mentioned up above

lower number + (lower number +1) + (middle number +1)=60

Substitute again for the middle number:

lower number + lower number +1 + (lower number +1) +1=60.

Condense.

3 lower number + 3 = 60

Subtract 3 from both sides.

3 lower number = 57

Divide 3 from both sides

lower number =19

middle number =lower number +1 =19 +1 =20

upper number = middle number +1 =20 +1 =21