Respuesta :
Answer:
Answer is down below.
Step-by-step explanation:
To find the answer, we will have to use basic Algebra in order to view the solution.
Let the first number be = x
Let the second number be = x+2
Let the third number be= x+4
Let the fourth number be= x+6
(We did the x+ part because consecutive means following continuously..)
Now let's put the equation:
x+x+2+x+4+x+6 = 1052
Let's add all the variables and numbers separately in order to simplify:
4x+12 = 1052
Subtract 12 on both sides.
4x = 1040
Divide 4 on both sides
x = 260
Now, we know the value of x. Let's put it in our numbers.
Let the first number be = x = 260
Let the second number be = x+2 = 262
Let the third number be= x+4 = 264
Let the fourth number be+ x+6 = 266
Now, let's double check to see if our answers are correct.
260+262+264+266 = 1052
Valla! They are.
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Answer : 260,262, 264 & 266
Let the four consecutive even numbers be:
(X), (X+2), (X+4), (X+6)
Their sum is 1052.
(X) + (X+2) + (X+4) + (X+6) = 1052
Expanding
4X + 12 = 1052
4X = (1052 - 12) = 1040
X = 260
(X+2) = 260+2 = 262
( X+ 4) = 260 + 4 = 264
(X+6) = 260+6 = 266
Answer : 260,262, 264 & 266
Let the four consecutive even numbers be:
(X), (X+2), (X+4), (X+6)
Their sum is 1052.
(X) + (X+2) + (X+4) + (X+6) = 1052
Expanding
4X + 12 = 1052
4X = (1052 - 12) = 1040
X = 260
(X+2) = 260+2 = 262
( X+ 4) = 260 + 4 = 264
(X+6) = 260+6 = 266