Answer:
3.5 = x + 4*y
4 = 2x + 2*y
Step-by-step explanation:
The total distance ran by Avi is the sum of the distance from his house to the track, and the total distance ran in the tracks (that is, the distance of one lap times the number of laps Avi ran).
If we call 'd' the total distance and 'k' the number of laps, we have the equation:
d = x + k*y
So with the data given, we can have the following system:
3.5 = x + 4*y
4 = 2x + 2*y
In the second equation, we have 2x because Avi ran from his home to the track, and in the end ran back home, so Avi ran the distance x two times.
Answer: 9
Step-by-step explanation:
2X+5=3X-4
-2X. -2X
5= X-4
+4
9=X
The integers are x - 1, x and x + 1
x - 1 + x + x + 1 = 186
3x = 186
x = 186/3 = 62
Therefore, the numbers are 61, 62 and 63
Aaron is 4 years and Maria is 14 years old.
A = Aaron's age today
M = Maria's age today.
a. The equation based on the statement given will be:
M = A + 10
b. Maria's age based on the statement in 6 years will be:
= (A + 10) + 6
= A + 16
c. Based on the information above, the equation to solve their ages will be:
A + 16 = 2(A + 6)
A + 16 = 2A + 12
Collect like terms
2A - A = 16 - 12
A = 4
Therefore, Aaron is 4 and Maria is 14 years.
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