a man was 32 when his daughter was born. he is now 5 times as old as his daughter. how old is his daughter?

Question

please answer in full working out for a clear understanding

Answer 1

Hi Lani,

 

Let's assume the daughter is d years old now. That means that the man is now (32 + d) years old. We are given that the man is also 5 times as old as his daughter now, which means that he is now 5d years old.

 

Setting the two equations equal:

 

(32 + d) = 5d

 

We can solve for the current age of his daughter.

 

32 = 4d

 

d = 8

 

To check our work, if his daughter is now 8 years old, he also aged 8 years. So he is now 40 years old, which is indeed 5 times the age of his daughter (40 / 5 = 8).

 

Hope this helps!