Question

Sarah has three sisters. lea is 4 less than 3 times the age of sarah. rachel is 3 years less than one-half sarah’s age. amanda is 1 year older than twice the age of sarah. if the sum of the ages of the four sisters is 46 years, how old is each sister?

Answer 1

Sarah=x

Lea=3x-4

Rachel=1/2x-3

Amanda=2x+1

Sum=46

x+3x-4+1/2x-3+2x+1=46

6.5x-6=46

6.5x=52

x=52/6.5x

x=8

input x in each sister's age:

Sarah= 8 years

Lea = 3(8)-4=20 years

Rachel = 1/2(8)-3=1 year

Amanda = 2(8)+1=17years

Explanation: