Question

Five years ago, Anu was thrice as old as Sonu. After ten years, Anu will be twice as old as Sonu. How old are Anu and Sonu?​

Answer 1

Answer

Given : √ Five years ago,

Anu was thrice as old as Sonu.

√ And Ten years later,

Anu will be twice as old as Sonu.

To find : √ The age of Anu and the Sonu.

Now, let us assumed that :-

Present ages :-

Anu = "x" year old

and

Sonu = "y" year old

Than, Five years ago :-

Age of Anu = x – 5 years

Age of Sonu = y – 5 years

Anu was thrice as old as Sonu :-

x- 5 = 3(y – 5)

x – 5 = 3y – 15

x – 3 y = - 10 ……….. ( 1 )

Now 10 years later the ages are :-

Age of Anu = x + 10

Age of Sonu = y + 10

According to given condition, we have

(x+10)=2(y+10)

x+10=2y+20

⇒x−2y=10 -------- ( 2 )

Now, Subtracting equation (1) from (2), we get

y = 10−(−10)

y = 20 years

Then put the value of "y" in the 1st equation for getting the value of "x" :-

x − 3 ( 20 ) = −10

x − 60 = −10

x = 50 years

Atlast, i am going to conclude my whole answer :-

Age of Anu 50\:years}}⟹

AgeofAnu=50years

AgeofSonu20 years}}⟹

AgeofSonu=20years

¶|ease m∀rK aS brilliant

Answer 2

Answer:

Anu-50

Sonu - 20

Step-by-step explanation:

Let Anu is x yrs and sonu Y yrs

x-5=3(y-5)

x-5=3y-15

x-3y=-15+5

x-3y=-10.......1

10YRS LATER

x+10=2(y+10)

x+10=2y+20

x-2y=10......2

Solving 1 and 2

x-3y=-10

-x-2y=10

________

-3y+2y=-10-10

-y=-20

y=20....in eqn 1

x-3(20)=-10

x-60=-10

x=50

Therefore Anu is 50 yrs and Sonu is 20 yrs.

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