Question

Mother tells her son that 5 years ago she was 5 times as old as her son was. After 10 years she will be 2 times as old as her son is.​

Answer 1

Answer:

let the present ages of mother and son be x and y respectively

ATQ

x-5=5(y-5)

x-5=5y-25

x-5-5y+25=0

x-5y+20=0___(I)

x+10=2(y+10)

x+10=2y+20

x+10-2y-20=0

x-2y-10=0___(ii)

x-2y=10

x=10+2y____(iii)

putting the value of x in eqn (I)

10+2y-5y+20=0

-3y+30=0

3y=30

y=30/3

y=10

putting the value of y in eqn(iii)

x=10+2*10

x=10+20

x=30