Question

Nia,  twelve years old, is three times as old as her sister. How old will nia be when sheis twice as old as her sister?

Answer 1

Answer is 16

Nia' age = x      her sister's age = y

x=3y    12=3y

x=12 y=4

Nia's age is 16 when her sister's age is 8

Answer 2

Answer:

Nia is 12 years old .

Assume the sister's age to be y

Nia's sister is y=$\frac{x}{3}$ or x =3y  ......... equation 1

We need to find the number of years n when Nia will be twice as old as her sister

x+n= 2(y + n)

substituting x = 3y

3y +n= 2y +2n

y = n

since y=4 , n=4

so the number of years in which Nia will be twice as old as her sister is 4 years .

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