Question

Narmada's father is now four times her age. In five years,he will be three times her age.In how many will he be twice her age

Answer 1

Answer:

20 years from now, Narmada's father will be twice her age

Step-by-step explanation:

Let present age of Narmada be $x$ years

Thus, present age of Narmada's father $=4x$ years

After 5 years,

Age of Narmada $= x+5$ years

Age of Narmada's father $=4x + 5$ years

Given that after 5 years, Narmada's father will be three times Narmada's age

Thus, we get

$4x + 5 = 3 \times (\,x + 5)\,\\\\ 4x + 5 = 3x + 15\\\\4x - 3x = 15 - 5\\\\ x = 10$

Now,

Present age of Narmada $= 10$ years

Present age of Narmada's father $= 4 \times 10 = 40$ years

Now, after 20 years

Age of Narmada $= 10 + 20 = 30$ years

Age of Narmada' father $= 40 + 20 = 60$ years

Thus, Narmada's father is twice the age of Narmada after 20 years from now

Answer 2

Answer:

let,

narmada's age be x

then her father age is 4x

five years later,

Narmada age= x+5

Father age= 4x+5

A/Q

3(x+5)=4x+5

3x+15=4x+5

3x-4x=5–15

-x=-10

x=10

therefore narmada age is 10 yrs

father's age is 40 yrs

Now let year taken be 'y' years, so that her father become twice her age

Therefore,

2(10+y)=40+y

20+2y=40+y

2y-y=40–20

y=20

Ans- 20years