Number of text messages Keisha sent: 16
Number of text messages Miguel sent: 21
Number of text messages Pablo sent: 32
Step-by-step explanation:
Total messages sent = 69
Let,
Messages sent by Keisha = x
Messages sent by Miguel = y
Messages sent by Pablo = z
According to given statement;
x+y+z=69 Eqn 1
y=x+5 Eqn 2
z=2x Eqn 3
Putting Eqn 2 and 3 in Eqn 1
![x+(x+5)+2x=69\\x+x+5+2x=69\\4x=69-5\\4x=64](https://tex.z-dn.net/?f=x%2B%28x%2B5%29%2B2x%3D69%5C%5Cx%2Bx%2B5%2B2x%3D69%5C%5C4x%3D69-5%5C%5C4x%3D64)
Dividing both sides by 4;
![\frac{4x}{4}=\frac{64}{4}\\x=16](https://tex.z-dn.net/?f=%5Cfrac%7B4x%7D%7B4%7D%3D%5Cfrac%7B64%7D%7B4%7D%5C%5Cx%3D16)
Putting x=16 in Eqn 2
![y=16+5=21](https://tex.z-dn.net/?f=y%3D16%2B5%3D21)
Putting x=16 in Eqn 3
![z=2(16)=32\\](https://tex.z-dn.net/?f=z%3D2%2816%29%3D32%5C%5C)
Number of text messages Keisha sent: 16
Number of text messages Miguel sent: 21
Number of text messages Pablo sent: 32
Keywords: addition, linear equation
Learn more about addition at:
#LearnwithBrainly