need some help with my homework... the sum of 3 numbers is 14. the largest is 4 times the smallest. the sum of the smallest and twice the largest is 18. what are the 3 numbers?
+9481 s = smallest
m = middle
b = biggest
We can make these equations from the info given in the question:
s + m + b = 14
b = 4s
s + 2b = 18
Replace b with 4s in the last equation and solve for s.
s + 2(4s) = 18
s + 8s = 18
9s = 18
s = 2
Replace s with 2 in the second equation and solve for b.
b = 4(2)
b = 8
Replace s and b with 2 and 8 respectively in the first equation and solve for m.
2 + m + 8 = 14
m + 10 = 14
m = 4
+9481 s = smallest
m = middle
b = biggest
We can make these equations from the info given in the question:
s + m + b = 14
b = 4s
s + 2b = 18
Replace b with 4s in the last equation and solve for s.
s + 2(4s) = 18
s + 8s = 18
9s = 18
s = 2
Replace s with 2 in the second equation and solve for b.
b = 4(2)
b = 8
Replace s and b with 2 and 8 respectively in the first equation and solve for m.
2 + m + 8 = 14
m + 10 = 14
m = 4
