Linear equations

Question

Jaiye is Y years old.

(A)how old was she 3 years ago?

(B)how old will she be in 4 years time?

(C)find her age?.

If half of what she Was 3 years ago is equal to one-third of what she will be in 4 years time?

Answer 1

Jaiye is now Y years old.

(A.) Three years ago, she was three years younger, so subtraction. We get Y-3 years old, three years ago.

(B.) Four years later, she is four years older, so addition. We get Y+4 years old, four years later.

(C.) Half of three years ago is equal to One-Third of four years from now. 1/2 * (Y-3) = 1/3 * (Y+4)

If we solve this out, we get 3 * (Y-3) = 2 * (Y-4). This solves to 3Y - 9 = 2Y - 8.

We subtract 2Y from both sides: Y-9 = -8

We add 9 to both sides: Y=1.

So, Jaiye is now 1 year old.