Question

please answer this three question and answer each question step by step​

Answer 1

Q1)   Let the present age of Hari be x yrs

And present age of son be y yrs

ATQ,

x = 2y --------------------(i)

20 yrs ago,

Hari's age = (x-20) yrs

Son's age = (y-20) yrs

=> (x-20) = 4(y-20)

=> x-20 = 4y-80

Putting the value of x

2y-20 = 4y-80

=> 2y-4y = -80+20

=> -2y = -60

=> 2y = 60

=> y = 30

x = 2y

= 2×30

= 60

Q2) Ramu's age = x

Ramu' father age = 4x

After 16 years,

Ramu's age = (x + 16)

Ramu's father age = (4x + 16)

According to question,

2(x + 16) = 4x + 16

2x + 32 = 4x + 16

2x = 16

x = 8

Ramu's present age = 8 years

Ramu's father present age = 32 years

Q3) Let Rakhi's mother's age = x

Then Rakhi's age = x - 26

After 9 years,

Rakhi's mother's age = x + 9

Then Rakhi's age = x - 17

Equation =

x + 9 = 2 (x-17)

x + 9 = 2x - 34

9 + 34 = 2x - x

43 = x

Therefore, Rakhi's mother's age is 43 years and Rakhi's age is 17 years (43-26)

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