If 3 is added to a number, the sum is 3 times another number. But if 17 is subtracted from the number, the difference is half the other. What are the two numbers?
A. 8 and 21
B. -8 and 21
C. -8 and -21
D. 8 and -21
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If 3 is added to a number, the sum is 3 times another number. But if 17 is subtracted from the number, the difference is half the other. What are the two numbers?
A. 8 and 21
B. -8 and 21
C. -8 and -21
D. 8 and -21
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Answer:
Letter A
Step-by-step explanation:
Let x be the number
Let y be the other number
Equation 1: x + 3= 3y
x - 3y = -3
Equation 2: x - 17 = y/2
2(x-17)=y
2x - 34 = y
2x - y =34
Solution1: x-3y = -3
2x -y= 34
*multiply the first equation by -2 to eliminate x
-2(x-3y =-3)
-2x +6y = 6
Solution 2:
-2x +6y = 6
2x -y= 34
* cancel -2x and 2x
6y =6
-y = 34
6y-y = 6+34
5y = 40
y = 8
Solution 3: Substitute to any equation
x-3y = -3
x-3(8) = -3
x-24= -3
x= 24-3
x = 21