Question

five years hence, the age of John will be three times that of his daughter. Five years ago, John's age was seven times that of his daughter. what are their present ages. ​

Answer 1

Answer:

John's age is 40 years and her daughter's age is 10 years.

Step-by-step explanation:

Let the john's age be x and her daughter's age be y

After 5 years,

5 + x  =  3(y + 5)

5 + x  =  3y + 15

x - 3y =   15 - 5  =  10                       ..........(i)

5 years Before,

x - 5  =  7(y - 5)

x - 5  =  7y - 35

7y - x =  30                                       .........(ii)

Solving both the equations,

-3y + 7y  =  10 + 30

      4y    =   40

       y     =   10 years

substituting the value of y in (i)

x - 3(10)  =  10

x - 30     =   10

       x     =   30 + 10  =  40 years

HOPE IT HELPS YOU !!!