Two consecutive integers word problem

When the smaller of two consecutive integers is added to four times the larger,  the result is 49.
Find the two integers

x = first consecutive integer
x + 1 = second consecutive integer   {consecutive integers increase by 1} 

x + 4(x + 1) = 49   {the smaller is added to 4 times the larger to equal 49}
x + 4x + 4 = 49   {used distributive property}
5x + 4 = 49   {combined like terms}
5x = 45   {subtracted 4 form each side}
x = 9   {divided each side by 5}
x + 1 = 10   {substituted 9, in for x, into x + 1} 

9 and 10 are the two consecutive integers

- Algebra House