Ok relax these kinds of problems just require a bit of understanding. I’ll try my best to walk you through it.
First read each statement carefully.
The term consecutive integers means “whole numbers that follow each other without gaps”
Eg: (1, 2 and 3) or (3,4 and 5) etc.
Now since we don’t know these numbers we can label them as x, (x+1) and (x+2)
Now the question says 2 times the sum of the first and the second is equal to 6 plus the third number
2 times the sum of the first two numbers is
[x + (x+1) ] * 2
6 plus the third number is
6 + (x+2)
Now writing an equation
[x + (x+1) ]*2 = 6 + (x+2)
[2x+1] *2 = 8 + 2
4x + 2 = 10
4x = 8
x= 8/4
x= 2
Now since our three numbers were
x , x+1 and x+2
By plugging in 2 as the value of x we can find out the the three numbers were
2,3 and 4