Solve.
-One number exceeds another number by 3, and their product is 154. Find the numbers.
A) 11 and 14, or -14 and -11
B) 11 and 14
C) 12 and 15
D) 12 and 15, or -15 and -12

Question

Quizplus · Accepted Answer

Let the two numbers be x and y, with x being the larger number. We have x = y + 3 and xy = 154. Substituting the first equation into the second gives y(y + 3) = 154. Solving this quadratic equation yields y = 11 or y = -14. Therefore, the pairs of numbers are (14, 11) and (-11, -14).

Solve. -One Number Exceeds Another Number by 3, and Their Product