Solve the problem.
-One number is 5 less than a second number. Twice the second number is 52 more than 5 times the first. Find the two numbers.
A) -13 and -8
B) -14 and -9
C) 9 and 14
D) -15 and -10

Question

Quizplus · Accepted Answer

Let x be the second number. Then the first number is x-5. We can translate the second sentence into the equation "2x = 5(x-5) + 52". Solving for x, we get x = -9. Therefore, the second number is -9 and the first number is -9-5 = -14. So, the answer is choice B. Let x be the second number
Then the first number is (x - 5)
According to the problem, 
2x = 5(x - 5) + 52
Simplifying the equation,
2x = 5x - 25 + 52
2x - 5x = 27
-3x = 27
x = -9
So the second number is -9 and the first number is -9 - 5 = -14
Therefore, the answer is B: -14 and -9.

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