Question

Anna is four times as old as Pat . in ten years time, Anna will be twice as old as Pat. Find their ages.​

Answer 1

Answer:

Let their present age be x and y respectively

X = Anna's age

Y = Pat's age

X = 4Y      

10+X = 2(10+Y)

10+X = 20+2Y    

X = 10+2Y  

4Y = 10+2Y [ Substituting X as 4Y ]

2Y = 10

Y = 5

So, X = 4Y = 4*5 = 20

Therefore, Anna's age is 20 Years and Pat's age is 5 Years.

Hope this helps :)

Answer 2

Answer:

A=4P

A-4P=0 - l

Then,

A+10 = 2(P+10)

A+10-2(P+10) = 0

A+10-2P-20=0

A-2P= 10 - ll

By solving equation l and ll

A = 20 years

P = 5 years