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?

Guest May 7, 2017

#1**+4 **

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**

hectictar
May 7, 2017

#1**+4 **

Best Answer

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**

hectictar
May 7, 2017