imc

Question

Isaac has written down one integer two times and another integer three times. The sum of the five numbers is 100, and one of the numbers is 28. What is the other number?

Accepted Answer

Let the first number be x and the second be y. We have 2x+3y=100. We are given one of the numbers is 28. If x were to be 28, y would not be an integer, thus y=28. 2x+3(28)=100, which gives x=8.