Question

Raj is 27 years old than Hema. after 8 years Raj will be twice as old as hema .how old is Raj at present ?
(a). 46 years (b). 40 years (c). 36 years (d). 50 years​

Answer 1

Answer:

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.

⟹(x+27)+8=2(x+8)

: x + 27 + 8 = 2x + 16

x + 35= 2x + 16

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

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

Answer 2

40 years. Please mark me as branliest