SOLUTION: In 5 years a boy will be two-third as old as his uncle now. Three years ago he was half as old as the uncle is now. How old is the boy now?

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Question 1173234: In 5 years a boy will be two-third as old as his uncle now. Three years ago he was half as old as the uncle is now. How old is the boy now?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi  

In 5 years a boy (age y now) will be two-third as old as his uncle now (x)

Three years ago he was half as old as the uncle is now.

Write as You read:

y + 5 = (2/3)x

y - 3 =x/2   |multiply 2nd EQ by -1 to eliminate y



y + 5 = (2/3)x

-y + 3 = - x/2 

8 = (1/6)x

x = 48 , uncles age NOW

y + 5 = (2/3)48

u + 5 = 32

y = 27, boys age NOW

Checking our Answer:

y-3 = x/2

24 = 24  Checks!

Wish You the Best in your Studies.