Solve the problem.
-One number is 5 less than a second number. Twice the second number is 5 less than 5 times the first. Find the two numbers.
A) 6 and 11
B) -10 and -5
C) 5 and 10
D) 4 and 9

Question

Quizplus · Accepted Answer

Let the first number be x and the second number be y. The problem gives us two equations: 1) y = x + 5, and 2) 2y = 5x - 5. Substituting the first equation into the second gives 2(x + 5) = 5x - 5, which simplifies to 2x + 10 = 5x - 5. Solving for x gives x = 5. Substituting x = 5 into the first equation gives y = 10. Therefore, the two numbers are 5 and 10.

Solve the Problem. -One Number Is 5 Less Than a Second Number. Twice