Question

Ram's father is 4 times as old as Ram. Five years ago, his father was 9 times as old as he was then. What are their present ages ?​

Answer 1

Answer:

Ram's father is 4 times as old as Ram. Five years ago, his father was 9 times as old as he was then. What are their present ages?

Let Ram’s father = x

Let Ram = y

Ram's father is 4 times as old as Ram gives us our first formula:

x = 4y

Five years ago, his father was 9 times as old as he was then gives us our second formula:

(x-5) = 9(y-5)

Now, substitute 4y in for x in the second equation and solve for y:

(4y-5) = 9(y-5)

4y-5 = 9y-9*5

4y-5 = 9y-45

-5+45 = 9y-4y

40 = 5y

y = 40/5 = 8 Ram is 8 years old

Now, use the first equation to get his father’s age

x = 4y

x = 4*8 =32 Ram’s father is 32 years old