Poppy is 5 years older than kate .kate is twice as old as dane . Poppy is 11 years old .how old is dane

Question

Poppy is 5 years older than kate .kate is twice as old as dane . Poppy is 11 years old .how old is dane

Answer 1

Let P represent Poppy's age (now), K = Kate's, and D = Dane's

P = K + 5 (Poppy is 5 years older than Kate)

K = 2D (Kate is twice Dane's age)

But we are told that Poppy is 11 years old, so substitute 11 for P in the first equation:

11 = K + 5

K = 6 (subtract 5 from both sides of the equation)

Now we know that Kate is 6 so substitute that value for K in the 2nd equation:

6 = 2D

D = 3 (divide both sides by 2)

P=11

K = 6

D = 3

Poppy is 5 years older than Kate and Kate is twice Dane's age (check)!