Question

five years ago anu was thrice as old as sonu after 10 year anu willbe twice as old are anu and sonu? ​

Answer 1

Correct Question :

Five years ago anu was thrice as old as Sonu. After 10 years , anu will be as old as sonu. How old anu and Sonu are ?

Answer:

Anu's age = 50 years.

and

Sonu's age = 20 years.

Step-by-step explanation:

Statement :

• Five years ago , anu was thrice as old as Sonu.

• After 10 years , anu will be twice as old as Sonu.

To find :

• Age of Sonu and anu = ?

Assumption :

Let's assume the age of anu = x

The age of Sonu = y

Story 5 years before :-

Age of Anu = x - 5

Age of Sonu = y - 5

Since Anu was thrice as old as Sonu , Ages will be :

→ (x - 5) = 3(y - 5)

(we can find the value of x)

↝ Solving for x.

☞ Adding 5 to both the sides.

$\implies \sf \: x - 5 {\red{ + 5}} \: = 3y - 15 {\red{ + 5}}$

$\implies \sf \: x = 3y - 10$

Ten years later ,

Age of Anu = x + 10

Age of Sonu = y + 10

We have find the value of x. Now , substituting it ...

$\implies \sf \: (x + 10) = 2(y + 10)$

$\implies \sf \: 3y - 10 + 10 = 2y + 20$

☞ Simplifying both sides of equation :-

$\implies \sf \: 3y {\green{ + }} - 10 + 10 = 2y + 20$

☞ Combining like terms :-

$\implies \sf \: (3y) + ( - 10 + 10) = 2y + 20$

$\implies \sf \: 3y = 2y + 10$

☞ Subtract 2y from both the sides :-

$\implies \: \sf \: 3y { \blue{ - 2y}} = 2y + 20 {\blue{ - 2y}}$

$\implies \sf \: y = 20$

Now , we know y = 20.

Then , we can :-

$\sf{ \boxed {\implies{ \sf \: x = 3y - 10}}}$

$\implies \sf x = {\orange{60}} - 10$

$\implies \sf \: x = 50$

We earlier assumed that :

Anu's age = x , which is now 50 years.

And ...

Sonu's age = y , which is now 20 years.