Answer:
The first integer is 1
The second integer is 2
Step-by-step explanation:
Given that two numbers are consecutive:
Let the integers be:
First integer = x
Second Integer = x +1
Now according to given conditions the equation will be:
- Sum of two consecutive integers = x+ (x+1) = 2x +1
- Six times the sum of two consecutive integers =6(2x + 1) = 12x + 6
- Larger integer = x+1
- five times the larger integer = 5(x +1)= 5x + 5
- eight more than five times the larger integer= 5x +5 +8= 5x + 13
Final equation:
12x + 6 = 5x +13
Taking terms with x on left and others on right side
12x - 5x = 13 - 6 (signs of transferred terms will be changed)
7x = 7
Dividing both sides by 7 we get:
x = 1
So,
The first integer is 1
The second integer is 1+1 =2
I hope it will help you!
