Answer:
Clem's Height =38 Inches
Clyde's Height= 53 Inches
Chloe's Height = 47 Inches
Step-by-step explanation:
Let Clem's height be x, Clyde's height be y and Chloe's height be z
As given
x+y+z=11 feet 6 inches
As 1 Foot= 12 Inches so (11*12+6)=138
x+y+z= 138 inches (Equation 1)
Clem is 15 inches shorter than Clyde so:
x+15=y (Equation 2)
Clyde is 6 inches taller than Chloe
z=y-6 (Equation 3)
Putting z's value from equation 3 in equation 1
x+y+y-6=138
x+2y=138+6
x+2y=144 (Equation 4)
Putting Value of y from equation 1 in equation 4
x+2(x+15)=144
x+2x+30=144
3x=144-30
x=114/3
x=38
Putting x's value in equation 1 to get the value of y
38+15=y
y=53
Putting value of y in equation 3
z=53-6
z=47
Checking by putting values of x,y,z in equation 1 to see whether all heights equal 138 inches or not
38+53+47=138
138=138
