Cara was born on January 1, 2010, and her mother, Sydney, was born on January 1, 1982. In what year will Sydney’s age be twice Cara’s age?
Let the Car's age be C
Let Sydney's age be S
From the given information ,
Cara was born on January 1, 2010 and Sydney, was born on January 1, 1982
2010 - 1982 = 28
So Sydneys age = Cara's age + 28
S = C + 28 ---------> equation 1
We need to find when will Sydney's age be twice cara's age
So, S = 2C ---------> equation 2
Substitute equation 2 in equation 1
2C = C + 28
Subtract C on both sides
C = 28
Sydney's age be twice Cara's age when Cara's age = 28
We add 28 with 2010 = 2010 + 28 = 2038
Sydney's age be twice Cara's age in 2038