Question

Three of Santas helpers are a combined height of 11 feet and 6 inches. Clem is 15 inches shorter than Clyde who is 6 inches taller than Chloe how tall are each of Santas helpers

Answer 1

Clem's Height =38 Inches

Clyde's Height= 53 Inches

Chloe's Height = 47 Inches

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