finding the smaller integer

Question

if three times the smaller of the two consecutive integers is added to four times the lager the results is137 find the smaller integer

Answer 1

n = smaller integer

n + 1 = larger integer

 

3 times      smaller    is added   four times       larger   result is    137

   3 ·             n              +             4·              (n + 1)      =         137

 

3n + 4(n + 1) = 137

3n + 4n + 4 = 137

7n = 133

n = 19

 

The smaller integer is 19.