Because they're consecutive, it means that the first one is x, the second one is x+1, the third one is x+2 (x+1+1), and the fourth one is x+3. Because we're given that the sum of all of them is 682, just add all of them together:
x+(x+1)+(x+2)+(x+3)=682
x+x+x+x+1+2+3=682
4x+6=682
4x+6-6=682-6
4x=676
x=676/4
x=169
Thus, the consecutive integers are: 169, 170, 171, 172
Answer:
x = 29
y = 6
Step-by-step explanation:
Let the two numbers be represented as x and y
x + y = 35
x = 5y - 1
Substitute x as 5y -1 in equation one
5y -1 + y = 35
5y + y -1 = 35
Add 1 to both sides
6y - 1 + 1 = 35 + 1
6y = 36
Divide both sides by 6
6y/6= 36/6
y = 6
Now substitute y as 6 in any of the equations to get x.
Using equation one ,
We have
x + y = 35
x +6 = 35
Subtract 6 from both sides
x + 6 - 6 = 35 - 6
x = 29
