if five times the smaller of two consecutive integers is added to three times the larger,the result is 59.find the integers.

Question

If five times the smaller of two consecutive integers is added to three times the larger,the result is 59.find the intergers

Answer 1

We can start off by giving these integers a name. The smaller of the two, let's call n. The next consecutive integer would be n+1. Five times the smaller of the two is 5*n. Three times the larger is 3*(n+1). The equations is then

 

5*n + 3*(n+1) = 59

 

Solve for n to get the smaller one. Add one to it to find the larger.

 

Hope it helps!