The greater of two integers is 3 more than twice the smaller. The sum of the two integers is 15, What is the large and small number?

Question

 The greater of two integers is 3 more than twice the smaller. The sum of the two integers is 15. What is the large and small number?

Answer 1

X=Smaller, Y=Larger and Y= 2X+3 AND X+Y=15
Substitute Y into second Equation      X + 2X+3 = 15    So  3X=12, X=4 Small #, Y=2(4)+3=11 Large #