When the smaller of two consecutive integers is added to five times the larger the result is 35 find the integers

5,6

Step-by-step explanation:

integers are set of positive and negative numbers. It does not have fraction in it.

Example.

- 4, -3, -2, -1,0, 1,2,3

Thus we see integers are series of numbers with difference of 1.

Thus, if one integer is a

then next will be a+1

Given that

smaller of two consecutive integers is added to five times the larger the result is 35

larger integer = a+1

5 time larger integer = 5(a+1) = 5a +5

according to given situation

a+ 5a +5 = 35

6a = 35 - 5 = 30

=> a = 30/6 = 5

Thus, integers are

a = 5

a+1 = 5+1 = 6

27

step-by-step explanation: