Question

Raj is 27years older than hema after 8 years Raj will be twice as old as how old is Raj at present​

Answer 1

Correct Question:

Raj is 27 years older than Hema After 8 years Raj will be twice as old as Hema. How old is Raj at present.

Answer:

Raj is 46 years old and Hema is 19 years old.

Step-by-step explanation:

Gívєn -

Raj is 27 years older than Hema

After 8 years Raj will be twice as old as Hema.

Tσ fínd -

How old is Raj at present

Sσlutíσn -

Let the Ages be -

• Hema as x
• Raj as (x + 27)

$\rule{300}{1.5}$

After 8 years -

• Hema will be (x + 8)
• Raj will be (x + 27) + 8

$\rule{300}{1.5}$

As Given in the Question -

Raj will be Twice as old as Hema after 8 years.

$\sf{\implies} \: (x + 27) + 8 = 2(x + 8)$

$\sf{\implies} \: x + 27 + 8 = 2x + 16$

$\sf{\implies} \: x + 35= 2x + 16$

$\sf{\implies} \: 2x - x = 35 - 16$

$\sf{\implies} \: x = 19$

Hema's present age = 19 years

$\rule{300}{1.5}$

Raj's Present age =

$\sf{\implies} \: (x + 27)$

$\sf{\implies} \: 19 + 27$

$\sf{\implies} \:46$

Raj's present age = 46

$\therefore$ Raj is 46 years old and Hema is 19 years old.

Answer 2

Answer:

19

Step-by-step explanation:

let hema age =x,

and ,raj age=x+27

after 8 years,hema age=x+8

raj age=x+8+27=x+35

according to question

2(x+8)=x+35

2x+16=x+35

2x-x=35-16

x=19

raj present age = 19+27

46