Twice the greater of two consecutive odd integers is 13 less than three times the lesser. Find the integer

Question

Writing algebraic equations from word problems

Answer 1

Let the integers be a and b, so 2b=3a-13.

Also b-a=2, so b=a+2, and 2(a+2)=3a-13.

2a+4=3a-13, 17=a, therefore the integers are 17 and 19.